Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation -7x=4
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Equation x^2-6=0
- Equation x^2-x-90=0
-
Equation -9x=36
- Express {x} in terms of y where:
- -6*x-11*y=-20
- -15*x+7*y=1
- -10*x+4*y=3
- -8*x-16*y=-1
- Graphing y =:
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x^6
- Integral of d{x}:
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x^6
- Derivative of:
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x^6
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Identical expressions
- x^ six =-(7x+ ten)^ three
- x to the power of 6 equally minus (7x plus 10) cubed
- x to the power of six equally minus (7x plus ten) to the power of three
- x6=-(7x+10)3
- x6=-7x+103
- x⁶=-(7x+10)³
- x to the power of 6=-(7x+10) to the power of 3
- x^6=-7x+10^3
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Similar expressions
- x^6=-(7x-10)^3
- x^6=+(7x+10)^3
x^6=-(7x+10)^3 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
x1 = -5
$$x_{1} = -5$$
x2 = -2
$$x_{2} = -2$$
/ / / ___\\\ / / ___\\
| | |89*\/ 3 ||| | |89*\/ 3 ||
| |atan|--------||| |atan|--------||
| 4 ______ | \ 9 /|| 4 ______ | \ 9 /|
| ___ \/ 5961 *cos|--------------|| \/ 5961 *sin|--------------|
7 | 7*\/ 3 \ 2 /| \ 2 /
x3 = - + I*|- ------- + ----------------------------| - ----------------------------
4 \ 4 2 / 2
$$x_{3} = - \frac{\sqrt[4]{5961} \sin{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + \frac{7}{4} + i \left(- \frac{7 \sqrt{3}}{4} + \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right)$$
/ / / ___\\\ / / ___\\
| | |89*\/ 3 ||| | |89*\/ 3 ||
| |atan|--------||| |atan|--------||
| 4 ______ | \ 9 /|| 4 ______ | \ 9 /|
| ___ \/ 5961 *cos|--------------|| \/ 5961 *sin|--------------|
7 |7*\/ 3 \ 2 /| \ 2 /
x4 = - + I*|------- + ----------------------------| + ----------------------------
4 \ 4 2 / 2
$$x_{4} = \frac{7}{4} + \frac{\sqrt[4]{5961} \sin{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + i \left(\frac{7 \sqrt{3}}{4} + \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right)$$
/ / / ___\\\ / / ___\\
| | |89*\/ 3 ||| | |89*\/ 3 ||
| |atan|--------||| |atan|--------||
| 4 ______ | \ 9 /|| 4 ______ | \ 9 /|
| ___ \/ 5961 *cos|--------------|| \/ 5961 *sin|--------------|
7 | 7*\/ 3 \ 2 /| \ 2 /
x5 = - + I*|- ------- - ----------------------------| + ----------------------------
4 \ 4 2 / 2
$$x_{5} = \frac{7}{4} + \frac{\sqrt[4]{5961} \sin{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + i \left(- \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} - \frac{7 \sqrt{3}}{4}\right)$$
/ / / ___\\\ / / ___\\
| | |89*\/ 3 ||| | |89*\/ 3 ||
| |atan|--------||| |atan|--------||
| 4 ______ | \ 9 /|| 4 ______ | \ 9 /|
| ___ \/ 5961 *cos|--------------|| \/ 5961 *sin|--------------|
7 |7*\/ 3 \ 2 /| \ 2 /
x6 = - + I*|------- - ----------------------------| - ----------------------------
4 \ 4 2 / 2
$$x_{6} = - \frac{\sqrt[4]{5961} \sin{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + \frac{7}{4} + i \left(- \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + \frac{7 \sqrt{3}}{4}\right)$$
x6 = -5961^(1/4)*sin(atan(89*sqrt(3)/9)/2)/2 + 7/4 + i*(-5961^(1/4)*cos(atan(89*sqrt(3)/9)/2)/2 + 7*sqrt(3)/4)
Sum and product of roots
[src]
sum
/ / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\ / / / ___\\\ / / ___\\
| | |89*\/ 3 ||| | |89*\/ 3 || | | |89*\/ 3 ||| | |89*\/ 3 || | | |89*\/ 3 ||| | |89*\/ 3 || | | |89*\/ 3 ||| | |89*\/ 3 ||
| |atan|--------||| |atan|--------|| | |atan|--------||| |atan|--------|| | |atan|--------||| |atan|--------|| | |atan|--------||| |atan|--------||
| 4 ______ | \ 9 /|| 4 ______ | \ 9 /| | 4 ______ | \ 9 /|| 4 ______ | \ 9 /| | 4 ______ | \ 9 /|| 4 ______ | \ 9 /| | 4 ______ | \ 9 /|| 4 ______ | \ 9 /|
| ___ \/ 5961 *cos|--------------|| \/ 5961 *sin|--------------| | ___ \/ 5961 *cos|--------------|| \/ 5961 *sin|--------------| | ___ \/ 5961 *cos|--------------|| \/ 5961 *sin|--------------| | ___ \/ 5961 *cos|--------------|| \/ 5961 *sin|--------------|
7 | 7*\/ 3 \ 2 /| \ 2 / 7 |7*\/ 3 \ 2 /| \ 2 / 7 | 7*\/ 3 \ 2 /| \ 2 / 7 |7*\/ 3 \ 2 /| \ 2 /
-5 - 2 + - + I*|- ------- + ----------------------------| - ---------------------------- + - + I*|------- + ----------------------------| + ---------------------------- + - + I*|- ------- - ----------------------------| + ---------------------------- + - + I*|------- - ----------------------------| - ----------------------------
4 \ 4 2 / 2 4 \ 4 2 / 2 4 \ 4 2 / 2 4 \ 4 2 / 2
$$\left(- \frac{\sqrt[4]{5961} \sin{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + \frac{7}{4} + i \left(- \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + \frac{7 \sqrt{3}}{4}\right)\right) + \left(\left(\frac{7}{4} + \frac{\sqrt[4]{5961} \sin{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + i \left(- \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} - \frac{7 \sqrt{3}}{4}\right)\right) + \left(\left(\left(-5 - 2\right) + \left(- \frac{\sqrt[4]{5961} \sin{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + \frac{7}{4} + i \left(- \frac{7 \sqrt{3}}{4} + \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right)\right)\right) + \left(\frac{7}{4} + \frac{\sqrt[4]{5961} \sin{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + i \left(\frac{7 \sqrt{3}}{4} + \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right)\right)\right)\right)$$
=
/ / / ___\\\ / / / ___\\\ / / / ___\\\ / / / ___\\\ | | |89*\/ 3 ||| | | |89*\/ 3 ||| | | |89*\/ 3 ||| | | |89*\/ 3 ||| | |atan|--------||| | |atan|--------||| | |atan|--------||| | |atan|--------||| | 4 ______ | \ 9 /|| | 4 ______ | \ 9 /|| | 4 ______ | \ 9 /|| | 4 ______ | \ 9 /|| | ___ \/ 5961 *cos|--------------|| | ___ \/ 5961 *cos|--------------|| | ___ \/ 5961 *cos|--------------|| | ___ \/ 5961 *cos|--------------|| | 7*\/ 3 \ 2 /| | 7*\/ 3 \ 2 /| |7*\/ 3 \ 2 /| |7*\/ 3 \ 2 /| I*|- ------- + ----------------------------| + I*|- ------- - ----------------------------| + I*|------- + ----------------------------| + I*|------- - ----------------------------| \ 4 2 / \ 4 2 / \ 4 2 / \ 4 2 /
$$i \left(- \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} - \frac{7 \sqrt{3}}{4}\right) + i \left(- \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + \frac{7 \sqrt{3}}{4}\right) + i \left(- \frac{7 \sqrt{3}}{4} + \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right) + i \left(\frac{7 \sqrt{3}}{4} + \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right)$$
product
/ / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\ / / / / ___\\\ / / ___\\\
| | | |89*\/ 3 ||| | |89*\/ 3 ||| | | | |89*\/ 3 ||| | |89*\/ 3 ||| | | | |89*\/ 3 ||| | |89*\/ 3 ||| | | | |89*\/ 3 ||| | |89*\/ 3 |||
| | |atan|--------||| |atan|--------||| | | |atan|--------||| |atan|--------||| | | |atan|--------||| |atan|--------||| | | |atan|--------||| |atan|--------|||
| | 4 ______ | \ 9 /|| 4 ______ | \ 9 /|| | | 4 ______ | \ 9 /|| 4 ______ | \ 9 /|| | | 4 ______ | \ 9 /|| 4 ______ | \ 9 /|| | | 4 ______ | \ 9 /|| 4 ______ | \ 9 /||
| | ___ \/ 5961 *cos|--------------|| \/ 5961 *sin|--------------|| | | ___ \/ 5961 *cos|--------------|| \/ 5961 *sin|--------------|| | | ___ \/ 5961 *cos|--------------|| \/ 5961 *sin|--------------|| | | ___ \/ 5961 *cos|--------------|| \/ 5961 *sin|--------------||
|7 | 7*\/ 3 \ 2 /| \ 2 /| |7 |7*\/ 3 \ 2 /| \ 2 /| |7 | 7*\/ 3 \ 2 /| \ 2 /| |7 |7*\/ 3 \ 2 /| \ 2 /|
-5*(-2)*|- + I*|- ------- + ----------------------------| - ----------------------------|*|- + I*|------- + ----------------------------| + ----------------------------|*|- + I*|- ------- - ----------------------------| + ----------------------------|*|- + I*|------- - ----------------------------| - ----------------------------|
\4 \ 4 2 / 2 / \4 \ 4 2 / 2 / \4 \ 4 2 / 2 / \4 \ 4 2 / 2 /
$$- -10 \left(- \frac{\sqrt[4]{5961} \sin{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + \frac{7}{4} + i \left(- \frac{7 \sqrt{3}}{4} + \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right)\right) \left(\frac{7}{4} + \frac{\sqrt[4]{5961} \sin{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + i \left(\frac{7 \sqrt{3}}{4} + \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2}\right)\right) \left(\frac{7}{4} + \frac{\sqrt[4]{5961} \sin{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + i \left(- \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} - \frac{7 \sqrt{3}}{4}\right)\right) \left(- \frac{\sqrt[4]{5961} \sin{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + \frac{7}{4} + i \left(- \frac{\sqrt[4]{5961} \cos{\left(\frac{\operatorname{atan}{\left(\frac{89 \sqrt{3}}{9} \right)}}{2} \right)}}{2} + \frac{7 \sqrt{3}}{4}\right)\right)$$
=
1000
$$1000$$
1000
Numerical answer
[src]
x1 = -2.0
x2 = -1.26470381189907 - 0.164758247286208*i
x3 = -1.26470381189907 + 0.164758247286208*i
x4 = 4.76470381189907 - 6.22693607377728*i
x5 = 4.76470381189907 + 6.22693607377728*i
x6 = -5.0
x6 = -5.0
The graph