Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation -15x=45
-
Equation x^2=15
-
Equation x^4=16
-
Equation 3/5*x=1
- Express {x} in terms of y where:
- 18*x+17*y=-14
- -1*x-6*y=18
- 16*x-17*y=-15
- -4*x-4*y=19
-
Identical expressions
- (x^ two - sixteen)^ two +(x^-3x- twenty-eight)^ two = zero
- (x squared minus 16) squared plus (x to the power of minus 3x minus 28) squared equally 0
- (x to the power of two minus sixteen) to the power of two plus (x to the power of minus 3x minus twenty minus eight) to the power of two equally zero
- (x2-16)2+(x-3x-28)2=0
- x2-162+x-3x-282=0
- (x²-16)²+(x^-3x-28)²=0
- (x to the power of 2-16) to the power of 2+(x to the power of -3x-28) to the power of 2=0
- x^2-16^2+x^-3x-28^2=0
- (x^2-16)^2+(x^-3x-28)^2=O
-
Similar expressions
- (x^2-16)^2+(x^+3x-28)^2=0
- (x^2-16)^2-(x^-3x-28)^2=0
- (x^2+16)^2+(x^-3x-28)^2=0
- (x^2-16)^2+(x^-3x+28)^2=0
(x^2-16)^2+(x^-3x-28)^2=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
2 2
/ 2 \ /x \
\x - 16/ + |-- - 28| = 0
| 3 |
\x /
$$\left(x^{2} - 16\right)^{2} + \left(\frac{x}{x^{3}} - 28\right)^{2} = 0$$
Rapid solution
[src]
/ / / /223\\ \\ / / / /223\\ \\
| | |atan|---|| || | | |atan|---|| ||
| | 4 _______ | \132/| || | | 4 _______ | \132/| ||
| | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| ||
| | 14 \ 2 / || | | 14 \ 2 / ||
|atan|- ---------------------------- + ----------------------------|| |atan|- ---------------------------- + ----------------------------||
| | / /223\\ / /223\\|| | | / /223\\ / /223\\||
_________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---||||
/ / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/|||
/ |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------|||
/ _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //|
x1 = - 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *cos|-------------------------------------------------------------------| - I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *sin|-------------------------------------------------------------------|
\/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 /
$$x_{1} = - \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \cos{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} - i \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \sin{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}$$
/ / / /223\\ \\ / / / /223\\ \\
| | |atan|---|| || | | |atan|---|| ||
| | 4 _______ | \132/| || | | 4 _______ | \132/| ||
| | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| ||
| | 14 \ 2 / || | | 14 \ 2 / ||
|atan|- ---------------------------- + ----------------------------|| |atan|- ---------------------------- + ----------------------------||
| | / /223\\ / /223\\|| | | / /223\\ / /223\\||
_________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---||||
/ / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/|||
/ |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------|||
/ _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //|
x2 = - 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *cos|-------------------------------------------------------------------| + I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *sin|-------------------------------------------------------------------|
\/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 /
$$x_{2} = - \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \cos{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} + i \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \sin{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}$$
/ / / /223\\ \\ / / / /223\\ \\
| | |atan|---|| || | | |atan|---|| ||
| | 4 _______ | \132/| || | | 4 _______ | \132/| ||
| | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| ||
| | 14 \ 2 / || | | 14 \ 2 / ||
|atan|- ---------------------------- + ----------------------------|| |atan|- ---------------------------- + ----------------------------||
| | / /223\\ / /223\\|| | | / /223\\ / /223\\||
_________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---||||
/ / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/|||
/ |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------|||
/ _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //|
x3 = 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *cos|-------------------------------------------------------------------| - I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *sin|-------------------------------------------------------------------|
\/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 /
$$x_{3} = \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \cos{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} - i \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \sin{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}$$
/ / / /223\\ \\ / / / /223\\ \\
| | |atan|---|| || | | |atan|---|| ||
| | 4 _______ | \132/| || | | 4 _______ | \132/| ||
| | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| ||
| | 14 \ 2 / || | | 14 \ 2 / ||
|atan|- ---------------------------- + ----------------------------|| |atan|- ---------------------------- + ----------------------------||
| | / /223\\ / /223\\|| | | / /223\\ / /223\\||
_________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---||||
/ / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/|||
/ |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------|||
/ _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //|
x4 = 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *cos|-------------------------------------------------------------------| + I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *sin|-------------------------------------------------------------------|
\/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 /
$$x_{4} = \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \cos{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} + i \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \sin{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}$$
/ / / /223\\ \\ / / / /223\\ \\
| | |atan|---|| || | | |atan|---|| ||
| | 4 _______ | \132/| || | | 4 _______ | \132/| ||
| | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| ||
| | 14 \ 2 / || | | 14 \ 2 / ||
|atan|---------------------------- + ----------------------------|| |atan|---------------------------- + ----------------------------||
| | / /223\\ / /223\\|| | | / /223\\ / /223\\||
_________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---||||
/ / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/|||
/ |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------|||
/ _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //|
x5 = - 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *cos|-----------------------------------------------------------------| - I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *sin|-----------------------------------------------------------------|
\/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 /
$$x_{5} = - \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} - i \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}$$
/ / / /223\\ \\ / / / /223\\ \\
| | |atan|---|| || | | |atan|---|| ||
| | 4 _______ | \132/| || | | 4 _______ | \132/| ||
| | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| ||
| | 14 \ 2 / || | | 14 \ 2 / ||
|atan|---------------------------- + ----------------------------|| |atan|---------------------------- + ----------------------------||
| | / /223\\ / /223\\|| | | / /223\\ / /223\\||
_________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---||||
/ / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/|||
/ |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------|||
/ _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //|
x6 = - 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *cos|-----------------------------------------------------------------| + I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *sin|-----------------------------------------------------------------|
\/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 /
$$x_{6} = - \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} + i \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}$$
/ / / /223\\ \\ / / / /223\\ \\
| | |atan|---|| || | | |atan|---|| ||
| | 4 _______ | \132/| || | | 4 _______ | \132/| ||
| | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| ||
| | 14 \ 2 / || | | 14 \ 2 / ||
|atan|---------------------------- + ----------------------------|| |atan|---------------------------- + ----------------------------||
| | / /223\\ / /223\\|| | | / /223\\ / /223\\||
_________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---||||
/ / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/|||
/ |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------|||
/ _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //|
x7 = 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *cos|-----------------------------------------------------------------| - I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *sin|-----------------------------------------------------------------|
\/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 /
$$x_{7} = \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} - i \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}$$
/ / / /223\\ \\ / / / /223\\ \\
| | |atan|---|| || | | |atan|---|| ||
| | 4 _______ | \132/| || | | 4 _______ | \132/| ||
| | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| ||
| | 14 \ 2 / || | | 14 \ 2 / ||
|atan|---------------------------- + ----------------------------|| |atan|---------------------------- + ----------------------------||
| | / /223\\ / /223\\|| | | / /223\\ / /223\\||
_________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---||||
/ / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/|||
/ |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------|||
/ _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //|
x8 = 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *cos|-----------------------------------------------------------------| + I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *sin|-----------------------------------------------------------------|
\/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 /
$$x_{8} = \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} + i \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}$$
x8 = (sqrt(67153)*sin(atan(223/132)/2)^2 + 16*67153^(1/4)*sin(atan(223/132)/2) + sqrt(67153)*cos(atan(223/132)/2)^2 + 260 + 28*67153^(1/4)*cos(atan(223/132)/2))^(1/4)*cos(atan(67153^(1/4)*cos(atan(223/132)/2)/(67153^(1/4)*sin(atan(223/132)/2) + 8) + 14/(67153^(1/4)*sin(atan(223/132)/2) + 8))/2) + i*(sqrt(67153)*sin(atan(223/132)/2)^2 + 16*67153^(1/4)*sin(atan(223/132)/2) + sqrt(67153)*cos(atan(223/132)/2)^2 + 260 + 28*67153^(1/4)*cos(atan(223/132)/2))^(1/4)*sin(atan(67153^(1/4)*cos(atan(223/132)/2)/(67153^(1/4)*sin(atan(223/132)/2) + 8) + 14/(67153^(1/4)*sin(atan(223/132)/2) + 8))/2)
Sum and product of roots
[src]
sum
/ / / /223\\ \\ / / / /223\\ \\ / / / /223\\ \\ / / / /223\\ \\ / / / /223\\ \\ / / / /223\\ \\ / / / /223\\ \\ / / / /223\\ \\ / / / /223\\ \\ / / / /223\\ \\ / / / /223\\ \\ / / / /223\\ \\ / / / /223\\ \\ / / / /223\\ \\ / / / /223\\ \\ / / / /223\\ \\
| | |atan|---|| || | | |atan|---|| || | | |atan|---|| || | | |atan|---|| || | | |atan|---|| || | | |atan|---|| || | | |atan|---|| || | | |atan|---|| || | | |atan|---|| || | | |atan|---|| || | | |atan|---|| || | | |atan|---|| || | | |atan|---|| || | | |atan|---|| || | | |atan|---|| || | | |atan|---|| ||
| | 4 _______ | \132/| || | | 4 _______ | \132/| || | | 4 _______ | \132/| || | | 4 _______ | \132/| || | | 4 _______ | \132/| || | | 4 _______ | \132/| || | | 4 _______ | \132/| || | | 4 _______ | \132/| || | | 4 _______ | \132/| || | | 4 _______ | \132/| || | | 4 _______ | \132/| || | | 4 _______ | \132/| || | | 4 _______ | \132/| || | | 4 _______ | \132/| || | | 4 _______ | \132/| || | | 4 _______ | \132/| ||
| | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| || | | \/ 67153 *cos|---------| ||
| | 14 \ 2 / || | | 14 \ 2 / || | | 14 \ 2 / || | | 14 \ 2 / || | | 14 \ 2 / || | | 14 \ 2 / || | | 14 \ 2 / || | | 14 \ 2 / || | | 14 \ 2 / || | | 14 \ 2 / || | | 14 \ 2 / || | | 14 \ 2 / || | | 14 \ 2 / || | | 14 \ 2 / || | | 14 \ 2 / || | | 14 \ 2 / ||
|atan|- ---------------------------- + ----------------------------|| |atan|- ---------------------------- + ----------------------------|| |atan|- ---------------------------- + ----------------------------|| |atan|- ---------------------------- + ----------------------------|| |atan|- ---------------------------- + ----------------------------|| |atan|- ---------------------------- + ----------------------------|| |atan|- ---------------------------- + ----------------------------|| |atan|- ---------------------------- + ----------------------------|| |atan|---------------------------- + ----------------------------|| |atan|---------------------------- + ----------------------------|| |atan|---------------------------- + ----------------------------|| |atan|---------------------------- + ----------------------------|| |atan|---------------------------- + ----------------------------|| |atan|---------------------------- + ----------------------------|| |atan|---------------------------- + ----------------------------|| |atan|---------------------------- + ----------------------------||
| | / /223\\ / /223\\|| | | / /223\\ / /223\\|| | | / /223\\ / /223\\|| | | / /223\\ / /223\\|| | | / /223\\ / /223\\|| | | / /223\\ / /223\\|| | | / /223\\ / /223\\|| | | / /223\\ / /223\\|| | | / /223\\ / /223\\|| | | / /223\\ / /223\\|| | | / /223\\ / /223\\|| | | / /223\\ / /223\\|| | | / /223\\ / /223\\|| | | / /223\\ / /223\\|| | | / /223\\ / /223\\|| | | / /223\\ / /223\\||
_________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---|||| _________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---||||
/ / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/|||
/ |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | | 8 - \/ 67153 *sin|---------| 8 - \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------||| / |atan|---|| |atan|---|| |atan|---|| |atan|---|| | |8 + \/ 67153 *sin|---------| 8 + \/ 67153 *sin|---------|||
/ _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //|
- 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *cos|-------------------------------------------------------------------| - I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *sin|-------------------------------------------------------------------| + - 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *cos|-------------------------------------------------------------------| + I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *sin|-------------------------------------------------------------------| + 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *cos|-------------------------------------------------------------------| - I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *sin|-------------------------------------------------------------------| + 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *cos|-------------------------------------------------------------------| + I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| *sin|-------------------------------------------------------------------| + - 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *cos|-----------------------------------------------------------------| - I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *sin|-----------------------------------------------------------------| + - 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *cos|-----------------------------------------------------------------| + I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *sin|-----------------------------------------------------------------| + 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *cos|-----------------------------------------------------------------| - I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *sin|-----------------------------------------------------------------| + 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *cos|-----------------------------------------------------------------| + I*4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| + 16*\/ 67153 *sin|---------| + 28*\/ 67153 *cos|---------| *sin|-----------------------------------------------------------------|
\/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 /
$$\left(\left(\sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} - i \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right) + \left(\left(\left(- \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} - i \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right) + \left(\left(\sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \cos{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} + i \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \sin{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right) + \left(\left(\left(- \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \cos{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} + i \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \sin{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right) + \left(- \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \cos{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} - i \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \sin{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right)\right) + \left(\sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \cos{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} - i \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \sin{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right)\right)\right)\right) + \left(- \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} + i \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right)\right)\right) + \left(\sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} + i \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right)$$
=
0
$$0$$
product
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_________________________________________________________________________________________________________________________ | | |atan|---|| |atan|---||||| | / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/|||| | / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/|||| | / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/|||| | / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/|||| | / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/||| / / /223\\ / /223\\ / /223\\ / /223\\ | | 4 _______ | \132/| 4 _______ | \132/|||| | / / /223\\ 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/ \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //|| | / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //|| | / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //|| | / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //|| | / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //| / _______ 2| \132/| _______ 2| \132/| 4 _______ | \132/| 4 _______ | \132/| | \ \ 2 / \ 2 //|| |- 4 / 260 + \/ 67153 *cos |---------| + \/ 67153 *sin |---------| - 28*\/ 67153 *cos|---------| - 16*\/ 67153 *sin|---------| 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67153 *cos|---------| *sin|-----------------------------------------------------------------|| \ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 // \ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 // \\/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 // \\/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 // \ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 // \ \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 // \\/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 // \\/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 / \/ \ 2 / \ 2 / \ 2 / \ 2 / \ 2 //
$$\left(- \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \cos{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} - i \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \sin{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right) \left(- \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \cos{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} + i \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \sin{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right) \left(\sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \cos{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} - i \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \sin{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right) \left(\sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \cos{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} + i \sqrt[4]{- 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} - 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260} \sin{\left(\frac{\operatorname{atan}{\left(- \frac{14}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{- \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right) \left(- \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} - i \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right) \left(- \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} + i \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right) \left(\sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} - i \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right) \left(\sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)} + i \sqrt[4]{\sqrt{67153} \sin^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 16 \sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + \sqrt{67153} \cos^{2}{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 260 + 28 \sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt[4]{67153} \cos{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)}}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} + \frac{14}{\sqrt[4]{67153} \sin{\left(\frac{\operatorname{atan}{\left(\frac{223}{132} \right)}}{2} \right)} + 8} \right)}}{2} \right)}\right)$$
=
1
$$1$$
1
Numerical answer
[src]
x1 = -0.17027528033042 + 0.0451744586617898*i
x2 = -0.17027528033042 - 0.0451744586617898*i
x3 = 0.17027528033042 + 0.0451744586617898*i
x4 = 0.17027528033042 - 0.0451744586617898*i
x5 = -4.90893839310339 - 2.85037349950154*i
x6 = -4.90893839310339 + 2.85037349950154*i
x7 = 4.90893839310339 - 2.85037349950154*i
x8 = 4.90893839310339 + 2.85037349950154*i
x8 = 4.90893839310339 + 2.85037349950154*i