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- Equation:
-
Equation 9-4x=3x-40
-
Equation x^2=8
-
Equation x+4=0
-
Equation x^2+6x+9=0
- Express {x} in terms of y where:
- 18*x+12*y=18
- -11*x-3*y=14
- -20*x-13*y=15
- 12*x-3*y=-2
-
Identical expressions
- tg2x-ctg3x= zero
- tg2x minus ctg3x equally 0
- tg2x minus ctg3x equally zero
- tg2x-ctg3x=O
-
Similar expressions
- tg2x+ctg3x=0
tg2x-ctg3x=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
tan(2*x) - cot(3*x) = 0
$$\tan{\left(2 x \right)} - \cot{\left(3 x \right)} = 0$$
Rapid solution
[src]
-9*pi
x1 = -----
10
$$x_{1} = - \frac{9 \pi}{10}$$
-pi
x2 = ----
2
$$x_{2} = - \frac{\pi}{2}$$
pi
x3 = --
10
$$x_{3} = \frac{\pi}{10}$$
pi
x4 = --
2
$$x_{4} = \frac{\pi}{2}$$
/ ___________ ___________\
| ____ / ___ ___ ___ / ___ |
|I \/ 10 *\/ 5 + \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 5 |
x5 = -I*log|- - --------------------- + ------- + --------------------|
\4 8 4 8 /
$$x_{5} = - i \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{8} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{8} + \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)}$$
/ ___________ ___________\
| ___ ___ / ___ ____ / ___ |
| I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 |
x6 = -I*log|- - - ------- - -------------------- + ---------------------|
\ 4 4 8 8 /
$$x_{6} = - i \log{\left(- \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{8} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{8} - \frac{\sqrt{5} i}{4} - \frac{i}{4} \right)}$$
/ ___________ ___________ ___________ ___________\
| ____ / ___ ___ ___ / ___ ___ / ___ ____ / ___ |
|I \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 |
x7 = -I*log|- - --------------------- + ------- + -------------------- + -------------------- + ---------------------|
\4 16 4 16 16 16 /
$$x_{7} = - i \log{\left(- \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} + \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)}$$
/ ___________ ___________ ___________ ___________\
| ___ / ___ ____ / ___ ____ / ___ ___ ___ / ___ |
| I \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 - \/ 5 |
x8 = -I*log|- - - -------------------- - --------------------- - --------------------- + ------- + --------------------|
\ 4 16 16 16 4 16 /
$$x_{8} = - i \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} - \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} - \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)}$$
/ ___________ ___________ ___________ ___________\
| ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ |
| I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 |
x9 = -I*log|- - - ------- - -------------------- - -------------------- - --------------------- + ---------------------|
\ 4 4 16 16 16 16 /
$$x_{9} = - i \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} - \frac{\sqrt{5} i}{4} - \frac{i}{4} \right)}$$
/ ___________ ___________ ___________ ___________\
| ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ |
|I I*\/ 5 \/ 2 *\/ 5 - \/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 |
x10 = -I*log|- - ------- - -------------------- + -------------------- + --------------------- + ---------------------|
\4 4 16 16 16 16 /
$$x_{10} = - i \log{\left(- \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{5} i}{4} + \frac{i}{4} \right)}$$
x10 = -i*log(-sqrt(2)*sqrt(5 - sqrt(5))/16 + sqrt(2)*sqrt(sqrt(5) + 5)/16 + sqrt(10)*sqrt(5 - sqrt(5))/16 + sqrt(10)*sqrt(sqrt(5) + 5)/16 - sqrt(5)*i/4 + i/4)
Sum and product of roots
[src]
sum
/ ___________ ___________\ / ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\
| ____ / ___ ___ ___ / ___ | | ___ ___ / ___ ____ / ___ | | ____ / ___ ___ ___ / ___ ___ / ___ ____ / ___ | | ___ / ___ ____ / ___ ____ / ___ ___ ___ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ |
9*pi pi pi pi |I \/ 10 *\/ 5 + \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 5 | | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 | |I \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 | | I \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 - \/ 5 | | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 | |I I*\/ 5 \/ 2 *\/ 5 - \/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 |
- ---- - -- + -- + -- - I*log|- - --------------------- + ------- + --------------------| - I*log|- - - ------- - -------------------- + ---------------------| - I*log|- - --------------------- + ------- + -------------------- + -------------------- + ---------------------| - I*log|- - - -------------------- - --------------------- - --------------------- + ------- + --------------------| - I*log|- - - ------- - -------------------- - -------------------- - --------------------- + ---------------------| - I*log|- - ------- - -------------------- + -------------------- + --------------------- + ---------------------|
10 2 10 2 \4 8 4 8 / \ 4 4 8 8 / \4 16 4 16 16 16 / \ 4 16 16 16 4 16 / \ 4 4 16 16 16 16 / \4 4 16 16 16 16 /
$$- i \log{\left(- \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{5} i}{4} + \frac{i}{4} \right)} + \left(- i \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} - \frac{\sqrt{5} i}{4} - \frac{i}{4} \right)} + \left(\left(\left(- i \log{\left(- \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{8} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{8} - \frac{\sqrt{5} i}{4} - \frac{i}{4} \right)} + \left(\left(\left(\left(- \frac{9 \pi}{10} - \frac{\pi}{2}\right) + \frac{\pi}{10}\right) + \frac{\pi}{2}\right) - i \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{8} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{8} + \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)}\right)\right) - i \log{\left(- \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} + \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)}\right) - i \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} - \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} - \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)}\right)\right)$$
=
/ ___________ ___________\ / ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\
| ___ ___ / ___ ____ / ___ | | ____ / ___ ___ ___ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | ___ / ___ ____ / ___ ____ / ___ ___ ___ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | ____ / ___ ___ ___ / ___ ___ / ___ ____ / ___ |
4*pi | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 | |I \/ 10 *\/ 5 + \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 5 | | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 | | I \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 - \/ 5 | |I I*\/ 5 \/ 2 *\/ 5 - \/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 | |I \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 |
- ---- - I*log|- - - ------- - -------------------- + ---------------------| - I*log|- - --------------------- + ------- + --------------------| - I*log|- - - ------- - -------------------- - -------------------- - --------------------- + ---------------------| - I*log|- - - -------------------- - --------------------- - --------------------- + ------- + --------------------| - I*log|- - ------- - -------------------- + -------------------- + --------------------- + ---------------------| - I*log|- - --------------------- + ------- + -------------------- + -------------------- + ---------------------|
5 \ 4 4 8 8 / \4 8 4 8 / \ 4 4 16 16 16 16 / \ 4 16 16 16 4 16 / \4 4 16 16 16 16 / \4 16 4 16 16 16 /
$$- \frac{4 \pi}{5} - i \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} - \frac{\sqrt{5} i}{4} - \frac{i}{4} \right)} - i \log{\left(- \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{8} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{8} - \frac{\sqrt{5} i}{4} - \frac{i}{4} \right)} - i \log{\left(- \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{5} i}{4} + \frac{i}{4} \right)} - i \log{\left(- \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} + \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)} - i \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{8} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{8} + \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)} - i \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} - \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} - \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)}$$
product
/ / ___________ ___________\\ / / ___________ ___________\\ / / ___________ ___________ ___________ ___________\\ / / ___________ ___________ ___________ ___________\\ / / ___________ ___________ ___________ ___________\\ / / ___________ ___________ ___________ ___________\\
| | ____ / ___ ___ ___ / ___ || | | ___ ___ / ___ ____ / ___ || | | ____ / ___ ___ ___ / ___ ___ / ___ ____ / ___ || | | ___ / ___ ____ / ___ ____ / ___ ___ ___ / ___ || | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ || | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ ||
-9*pi -pi pi pi | |I \/ 10 *\/ 5 + \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 5 || | | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 || | |I \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 || | | I \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 - \/ 5 || | | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 || | |I I*\/ 5 \/ 2 *\/ 5 - \/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 ||
-----*----*--*--*|-I*log|- - --------------------- + ------- + --------------------||*|-I*log|- - - ------- - -------------------- + ---------------------||*|-I*log|- - --------------------- + ------- + -------------------- + -------------------- + ---------------------||*|-I*log|- - - -------------------- - --------------------- - --------------------- + ------- + --------------------||*|-I*log|- - - ------- - -------------------- - -------------------- - --------------------- + ---------------------||*|-I*log|- - ------- - -------------------- + -------------------- + --------------------- + ---------------------||
10 2 10 2 \ \4 8 4 8 // \ \ 4 4 8 8 // \ \4 16 4 16 16 16 // \ \ 4 16 16 16 4 16 // \ \ 4 4 16 16 16 16 // \ \4 4 16 16 16 16 //
$$- i \log{\left(- \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{5} i}{4} + \frac{i}{4} \right)} - i \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} - \frac{\sqrt{5} i}{4} - \frac{i}{4} \right)} - i \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} - \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} - \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)} - i \log{\left(- \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} + \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)} - i \log{\left(- \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{8} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{8} - \frac{\sqrt{5} i}{4} - \frac{i}{4} \right)} - i \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{8} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{8} + \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)} \frac{\pi}{2} \frac{\pi}{10} \cdot - \frac{9 \pi}{10} \left(- \frac{\pi}{2}\right)$$
=
/ ___________ ___________\ / ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\
| ___ ___ / ___ ____ / ___ | | ____ / ___ ___ ___ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | ___ / ___ ____ / ___ ____ / ___ ___ ___ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | ____ / ___ ___ ___ / ___ ___ / ___ ____ / ___ |
4 | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 | |I \/ 10 *\/ 5 + \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 5 | | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 | | I \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 - \/ 5 | |I I*\/ 5 \/ 2 *\/ 5 - \/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 | |I \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 |
-9*pi *log|- - - ------- - -------------------- + ---------------------|*log|- - --------------------- + ------- + --------------------|*log|- - - ------- - -------------------- - -------------------- - --------------------- + ---------------------|*log|- - - -------------------- - --------------------- - --------------------- + ------- + --------------------|*log|- - ------- - -------------------- + -------------------- + --------------------- + ---------------------|*log|- - --------------------- + ------- + -------------------- + -------------------- + ---------------------|
\ 4 4 8 8 / \4 8 4 8 / \ 4 4 16 16 16 16 / \ 4 16 16 16 4 16 / \4 4 16 16 16 16 / \4 16 4 16 16 16 /
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
400
$$- \frac{9 \pi^{4} \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{8} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{8} + \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)} \log{\left(- \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{8} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{8} - \frac{\sqrt{5} i}{4} - \frac{i}{4} \right)} \log{\left(- \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} + \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)} \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} - \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} - \frac{i}{4} + \frac{\sqrt{5} i}{4} \right)} \log{\left(- \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} - \frac{\sqrt{5} i}{4} - \frac{i}{4} \right)} \log{\left(- \frac{\sqrt{2} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{2} \sqrt{\sqrt{5} + 5}}{16} + \frac{\sqrt{10} \sqrt{5 - \sqrt{5}}}{16} + \frac{\sqrt{10} \sqrt{\sqrt{5} + 5}}{16} - \frac{\sqrt{5} i}{4} + \frac{i}{4} \right)}}{400}$$
-9*pi^4*log(-i/4 - i*sqrt(5)/4 - sqrt(2)*sqrt(5 + sqrt(5))/8 + sqrt(10)*sqrt(5 + sqrt(5))/8)*log(i/4 - sqrt(10)*sqrt(5 + sqrt(5))/8 + i*sqrt(5)/4 + sqrt(2)*sqrt(5 + sqrt(5))/8)*log(-i/4 - i*sqrt(5)/4 - sqrt(2)*sqrt(5 + sqrt(5))/16 - sqrt(2)*sqrt(5 - sqrt(5))/16 - sqrt(10)*sqrt(5 + sqrt(5))/16 + sqrt(10)*sqrt(5 - sqrt(5))/16)*log(-i/4 - sqrt(2)*sqrt(5 + sqrt(5))/16 - sqrt(10)*sqrt(5 + sqrt(5))/16 - sqrt(10)*sqrt(5 - sqrt(5))/16 + i*sqrt(5)/4 + sqrt(2)*sqrt(5 - sqrt(5))/16)*log(i/4 - i*sqrt(5)/4 - sqrt(2)*sqrt(5 - sqrt(5))/16 + sqrt(2)*sqrt(5 + sqrt(5))/16 + sqrt(10)*sqrt(5 + sqrt(5))/16 + sqrt(10)*sqrt(5 - sqrt(5))/16)*log(i/4 - sqrt(10)*sqrt(5 - sqrt(5))/16 + i*sqrt(5)/4 + sqrt(2)*sqrt(5 + sqrt(5))/16 + sqrt(2)*sqrt(5 - sqrt(5))/16 + sqrt(10)*sqrt(5 + sqrt(5))/16)/400
Numerical answer
[src]
x1 = 51.8362787842316
x2 = -5.96902604182061
x3 = -36.1283155162826
x4 = -0.314159265358979
x5 = -25.4469004940773
x6 = 25.4469004940773
x7 = -31.7300858012569
x8 = 36.1283155162826
x9 = 38.0132711084365
x10 = -49.9513231920777
x11 = 78.2256570743859
x12 = -80.1106126665397
x13 = -93.9336203423348
x14 = 7.85398163397448
x15 = -63.7743308678728
x16 = -78.2256570743859
x17 = -29.845130209103
x18 = -85.7654794430014
x19 = -41.1548637620263
x20 = -47.4380490692059
x21 = -71.9424717672063
x22 = -60.0044196835651
x23 = -85.1371609122834
x24 = 34.2433599241287
x25 = -23.5619449019235
x26 = 62.5176938064369
x27 = 56.2345084992573
x28 = 31.7300858012569
x29 = 16.0221225333079
x30 = 14.1371669411541
x31 = -34.2433599241287
x32 = 47.4380490692059
x33 = 58.1194640914112
x34 = 69.4291976443344
x35 = -3.45575191894877
x36 = -53.7212343763855
x37 = -51.8362787842316
x38 = 27.9601746169492
x39 = 80.1106126665397
x40 = -21.6769893097696
x41 = 66.2876049907446
x42 = 64.4026493985908
x43 = -41.7831822927443
x44 = 60.0044196835651
x45 = 71.9424717672063
x46 = -75.712382951514
x47 = 46.8097305384879
x48 = -16.0221225333079
x49 = 40.5265452313083
x50 = -58.1194640914112
x51 = -38.0132711084365
x52 = 86.3937979737193
x53 = 18.5353966561798
x54 = -14.1371669411541
x55 = -63.1460123371548
x56 = -87.6504350351552
x57 = 93.9336203423348
x58 = 12.2522113490002
x59 = -7.85398163397448
x60 = 9.73893722612836
x61 = 81.9955682586936
x62 = -81.9955682586936
x63 = -43.6681378848981
x64 = 20.4203522483337
x65 = 84.5088423815654
x66 = -69.4291976443344
x67 = 2.82743338823081
x68 = -9.73893722612836
x69 = 5.96902604182061
x70 = 91.420346219463
x71 = 97.7035315266426
x72 = 88.2787535658732
x73 = -91.420346219463
x74 = -12.2522113490002
x75 = -67.5442420521806
x76 = 73.8274273593601
x77 = -19.1637151868977
x78 = -95.8185759344887
x79 = -100.216805649514
x80 = 42.4115008234622
x81 = 49.9513231920777
x82 = 95.8185759344887
x83 = -56.2345084992573
x84 = 53.7212343763855
x85 = 29.845130209103
x86 = -73.8274273593601
x87 = 44.2964564156161
x88 = -97.7035315266426
x89 = -89.5353906273091
x90 = 90.792027688745
x91 = 100.216805649514
x92 = -45.553093477052
x93 = -1.5707963267949
x94 = 22.3053078404875
x95 = 75.712382951514
x96 = 24.8185819633594
x97 = -65.6592864600267
x98 = -27.9601746169492
x98 = -27.9601746169492