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- La ecuación:
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Ecuación x^4+2*x^2-8=0
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Ecuación x*(x^2+8*x+16)=5*(x+4)
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Ecuación ((57.6/(150-x))^0.15)*((150+x)+10)/171.712=1
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Ecuación x^2+3x=4
- Expresar {x} en función de y en la ecuación:
- -18*x-2*y=9
- -14*x+10*y=19
- -9*x+1*y=3
- -17*x+1*y=-11
-
Expresiones idénticas
- cosh(cinco *x)= cero
- coseno de eno hiperbólico de (5 multiplicar por x) es igual a 0
- coseno de eno hiperbólico de (cinco multiplicar por x) es igual a cero
- cosh(5x)=0
- cosh5x=0
- cosh(5*x)=O
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Expresiones con funciones
- Coseno hiperbólico cosh
- cosh(x)=cosh(pi)/5
- cosh(3z)=i
cosh(5*x)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Respuesta rápida
[src]
-9*pi*I
x1 = -------
10
$$x_{1} = - \frac{9 i \pi}{10}$$
-pi*I
x2 = ------
2
$$x_{2} = - \frac{i \pi}{2}$$
pi*I
x3 = ----
10
$$x_{3} = \frac{i \pi}{10}$$
pi*I
x4 = ----
2
$$x_{4} = \frac{i \pi}{2}$$
/ / ___ \\
| | 2 + 2*\/ 5 ||
x5 = I*|pi + atan|--------------------------------------------||
| | ___________ ___________||
| | ___ / ___ ____ / ___ ||
\ \\/ 2 *\/ 5 + \/ 5 - \/ 10 *\/ 5 + \/ 5 //
$$x_{5} = i \left(\operatorname{atan}{\left(\frac{2 + 2 \sqrt{5}}{- \sqrt{10} \sqrt{\sqrt{5} + 5} + \sqrt{2} \sqrt{\sqrt{5} + 5}} \right)} + \pi\right)$$
/ / ___\ \
| -\-2 - 2*\/ 5 / |
x6 = -I*atan|--------------------------------------------|
| ___________ ___________|
| ____ / ___ ___ / ___ |
\\/ 10 *\/ 5 + \/ 5 - \/ 2 *\/ 5 + \/ 5 /
$$x_{6} = - i \operatorname{atan}{\left(- \frac{- 2 \sqrt{5} - 2}{- \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{10} \sqrt{\sqrt{5} + 5}} \right)}$$
/ ___________ ___________ \
| / ___ / ___ |
| 4 + 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 |
x7 = I*atan|-------------------------------------------------------------------------------------------|
| ___________ ___________ ___________ ___________|
| ___ / ___ ___ / ___ ____ / ___ ____ / ___ |
\\/ 2 *\/ 5 + \/ 5 + \/ 2 *\/ 5 - \/ 5 + \/ 10 *\/ 5 + \/ 5 - \/ 10 *\/ 5 - \/ 5 /
$$x_{7} = i \operatorname{atan}{\left(\frac{4 + 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5}}{- \sqrt{10} \sqrt{5 - \sqrt{5}} + \sqrt{2} \sqrt{5 - \sqrt{5}} + \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{10} \sqrt{\sqrt{5} + 5}} \right)}$$
/ / ___________ ___________ \\
| | / ___ / ___ ||
| | -4 + 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 ||
x8 = I*|pi + atan|-------------------------------------------------------------------------------------------||
| | ___________ ___________ ___________ ___________||
| | ___ / ___ ___ / ___ ____ / ___ ____ / ___ ||
\ \\/ 2 *\/ 5 - \/ 5 - \/ 2 *\/ 5 + \/ 5 - \/ 10 *\/ 5 + \/ 5 - \/ 10 *\/ 5 - \/ 5 //
$$x_{8} = i \left(\operatorname{atan}{\left(\frac{-4 + 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5}}{- \sqrt{10} \sqrt{\sqrt{5} + 5} - \sqrt{10} \sqrt{5 - \sqrt{5}} - \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{2} \sqrt{5 - \sqrt{5}}} \right)} + \pi\right)$$
/ / ___________ ___________ \\
| | / ___ / ___ ||
| | -4 - 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 ||
x9 = I*|-pi + atan|-------------------------------------------------------------------------------------------||
| | ___________ ___________ ___________ ___________||
| | ____ / ___ ___ / ___ ___ / ___ ____ / ___ ||
\ \\/ 10 *\/ 5 - \/ 5 - \/ 2 *\/ 5 + \/ 5 - \/ 2 *\/ 5 - \/ 5 - \/ 10 *\/ 5 + \/ 5 //
$$x_{9} = i \left(- \pi + \operatorname{atan}{\left(\frac{- 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5} - 4}{- \sqrt{10} \sqrt{\sqrt{5} + 5} - \sqrt{2} \sqrt{\sqrt{5} + 5} - \sqrt{2} \sqrt{5 - \sqrt{5}} + \sqrt{10} \sqrt{5 - \sqrt{5}}} \right)}\right)$$
/ ___________ ___________ \
| / ___ / ___ |
| 4 - 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 |
x10 = I*atan|-------------------------------------------------------------------------------------------|
| ___________ ___________ ___________ ___________|
| ___ / ___ ____ / ___ ____ / ___ ___ / ___ |
\\/ 2 *\/ 5 + \/ 5 + \/ 10 *\/ 5 + \/ 5 + \/ 10 *\/ 5 - \/ 5 - \/ 2 *\/ 5 - \/ 5 /
$$x_{10} = i \operatorname{atan}{\left(\frac{- 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5} + 4}{- \sqrt{2} \sqrt{5 - \sqrt{5}} + \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{10} \sqrt{5 - \sqrt{5}} + \sqrt{10} \sqrt{\sqrt{5} + 5}} \right)}$$
x10 = i*atan((-2*sqrt(5 - sqrt(5))*sqrt(sqrt(5) + 5) + 4)/(-sqrt(2)*sqrt(5 - sqrt(5)) + sqrt(2)*sqrt(sqrt(5) + 5) + sqrt(10)*sqrt(5 - sqrt(5)) + sqrt(10)*sqrt(sqrt(5) + 5)))
Suma y producto de raíces
[src]
suma
/ ___________ ___________ \ / / ___________ ___________ \\ / / ___________ ___________ \\ / ___________ ___________ \
/ / ___ \\ / / ___\ \ | / ___ / ___ | | | / ___ / ___ || | | / ___ / ___ || | / ___ / ___ |
9*pi*I pi*I pi*I pi*I | | 2 + 2*\/ 5 || | -\-2 - 2*\/ 5 / | | 4 + 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 | | | -4 + 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 || | | -4 - 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 || | 4 - 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 |
- ------ - ---- + ---- + ---- + I*|pi + atan|--------------------------------------------|| - I*atan|--------------------------------------------| + I*atan|-------------------------------------------------------------------------------------------| + I*|pi + atan|-------------------------------------------------------------------------------------------|| + I*|-pi + atan|-------------------------------------------------------------------------------------------|| + I*atan|-------------------------------------------------------------------------------------------|
10 2 10 2 | | ___________ ___________|| | ___________ ___________| | ___________ ___________ ___________ ___________| | | ___________ ___________ ___________ ___________|| | | ___________ ___________ ___________ ___________|| | ___________ ___________ ___________ ___________|
| | ___ / ___ ____ / ___ || | ____ / ___ ___ / ___ | | ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | | ___ / ___ ___ / ___ ____ / ___ ____ / ___ || | | ____ / ___ ___ / ___ ___ / ___ ____ / ___ || | ___ / ___ ____ / ___ ____ / ___ ___ / ___ |
\ \\/ 2 *\/ 5 + \/ 5 - \/ 10 *\/ 5 + \/ 5 // \\/ 10 *\/ 5 + \/ 5 - \/ 2 *\/ 5 + \/ 5 / \\/ 2 *\/ 5 + \/ 5 + \/ 2 *\/ 5 - \/ 5 + \/ 10 *\/ 5 + \/ 5 - \/ 10 *\/ 5 - \/ 5 / \ \\/ 2 *\/ 5 - \/ 5 - \/ 2 *\/ 5 + \/ 5 - \/ 10 *\/ 5 + \/ 5 - \/ 10 *\/ 5 - \/ 5 // \ \\/ 10 *\/ 5 - \/ 5 - \/ 2 *\/ 5 + \/ 5 - \/ 2 *\/ 5 - \/ 5 - \/ 10 *\/ 5 + \/ 5 // \\/ 2 *\/ 5 + \/ 5 + \/ 10 *\/ 5 + \/ 5 + \/ 10 *\/ 5 - \/ 5 - \/ 2 *\/ 5 - \/ 5 /
$$i \operatorname{atan}{\left(\frac{- 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5} + 4}{- \sqrt{2} \sqrt{5 - \sqrt{5}} + \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{10} \sqrt{5 - \sqrt{5}} + \sqrt{10} \sqrt{\sqrt{5} + 5}} \right)} + \left(i \left(- \pi + \operatorname{atan}{\left(\frac{- 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5} - 4}{- \sqrt{10} \sqrt{\sqrt{5} + 5} - \sqrt{2} \sqrt{\sqrt{5} + 5} - \sqrt{2} \sqrt{5 - \sqrt{5}} + \sqrt{10} \sqrt{5 - \sqrt{5}}} \right)}\right) + \left(\left(\left(- i \operatorname{atan}{\left(- \frac{- 2 \sqrt{5} - 2}{- \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{10} \sqrt{\sqrt{5} + 5}} \right)} + \left(\left(\left(\left(- \frac{9 i \pi}{10} - \frac{i \pi}{2}\right) + \frac{i \pi}{10}\right) + \frac{i \pi}{2}\right) + i \left(\operatorname{atan}{\left(\frac{2 + 2 \sqrt{5}}{- \sqrt{10} \sqrt{\sqrt{5} + 5} + \sqrt{2} \sqrt{\sqrt{5} + 5}} \right)} + \pi\right)\right)\right) + i \operatorname{atan}{\left(\frac{4 + 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5}}{- \sqrt{10} \sqrt{5 - \sqrt{5}} + \sqrt{2} \sqrt{5 - \sqrt{5}} + \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{10} \sqrt{\sqrt{5} + 5}} \right)}\right) + i \left(\operatorname{atan}{\left(\frac{-4 + 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5}}{- \sqrt{10} \sqrt{\sqrt{5} + 5} - \sqrt{10} \sqrt{5 - \sqrt{5}} - \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{2} \sqrt{5 - \sqrt{5}}} \right)} + \pi\right)\right)\right)$$
=
/ / ___________ ___________ \\ / / ___________ ___________ \\ / ___________ ___________ \ / ___________ ___________ \ / / ___ \\ | | / ___ / ___ || | | / ___ / ___ || | / ___ / ___ | | / ___ / ___ | / / ___\ \ | | 2 + 2*\/ 5 || | | -4 + 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 || | | -4 - 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 || | 4 + 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 | | 4 - 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 | | -\-2 - 2*\/ 5 / | 4*pi*I I*|pi + atan|--------------------------------------------|| + I*|pi + atan|-------------------------------------------------------------------------------------------|| + I*|-pi + atan|-------------------------------------------------------------------------------------------|| + I*atan|-------------------------------------------------------------------------------------------| + I*atan|-------------------------------------------------------------------------------------------| - I*atan|--------------------------------------------| - ------ | | ___________ ___________|| | | ___________ ___________ ___________ ___________|| | | ___________ ___________ ___________ ___________|| | ___________ ___________ ___________ ___________| | ___________ ___________ ___________ ___________| | ___________ ___________| 5 | | ___ / ___ ____ / ___ || | | ___ / ___ ___ / ___ ____ / ___ ____ / ___ || | | ____ / ___ ___ / ___ ___ / ___ ____ / ___ || | ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | ___ / ___ ____ / ___ ____ / ___ ___ / ___ | | ____ / ___ ___ / ___ | \ \\/ 2 *\/ 5 + \/ 5 - \/ 10 *\/ 5 + \/ 5 // \ \\/ 2 *\/ 5 - \/ 5 - \/ 2 *\/ 5 + \/ 5 - \/ 10 *\/ 5 + \/ 5 - \/ 10 *\/ 5 - \/ 5 // \ \\/ 10 *\/ 5 - \/ 5 - \/ 2 *\/ 5 + \/ 5 - \/ 2 *\/ 5 - \/ 5 - \/ 10 *\/ 5 + \/ 5 // \\/ 2 *\/ 5 + \/ 5 + \/ 2 *\/ 5 - \/ 5 + \/ 10 *\/ 5 + \/ 5 - \/ 10 *\/ 5 - \/ 5 / \\/ 2 *\/ 5 + \/ 5 + \/ 10 *\/ 5 + \/ 5 + \/ 10 *\/ 5 - \/ 5 - \/ 2 *\/ 5 - \/ 5 / \\/ 10 *\/ 5 + \/ 5 - \/ 2 *\/ 5 + \/ 5 /
$$- \frac{4 i \pi}{5} + i \left(- \pi + \operatorname{atan}{\left(\frac{- 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5} - 4}{- \sqrt{10} \sqrt{\sqrt{5} + 5} - \sqrt{2} \sqrt{\sqrt{5} + 5} - \sqrt{2} \sqrt{5 - \sqrt{5}} + \sqrt{10} \sqrt{5 - \sqrt{5}}} \right)}\right) - i \operatorname{atan}{\left(- \frac{- 2 \sqrt{5} - 2}{- \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{10} \sqrt{\sqrt{5} + 5}} \right)} + i \operatorname{atan}{\left(\frac{- 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5} + 4}{- \sqrt{2} \sqrt{5 - \sqrt{5}} + \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{10} \sqrt{5 - \sqrt{5}} + \sqrt{10} \sqrt{\sqrt{5} + 5}} \right)} + i \operatorname{atan}{\left(\frac{4 + 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5}}{- \sqrt{10} \sqrt{5 - \sqrt{5}} + \sqrt{2} \sqrt{5 - \sqrt{5}} + \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{10} \sqrt{\sqrt{5} + 5}} \right)} + i \left(\operatorname{atan}{\left(\frac{2 + 2 \sqrt{5}}{- \sqrt{10} \sqrt{\sqrt{5} + 5} + \sqrt{2} \sqrt{\sqrt{5} + 5}} \right)} + \pi\right) + i \left(\operatorname{atan}{\left(\frac{-4 + 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5}}{- \sqrt{10} \sqrt{\sqrt{5} + 5} - \sqrt{10} \sqrt{5 - \sqrt{5}} - \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{2} \sqrt{5 - \sqrt{5}}} \right)} + \pi\right)$$
producto
/ ___________ ___________ \ / / ___________ ___________ \\ / / ___________ ___________ \\ / ___________ ___________ \
/ / ___ \\ / / / ___\ \\ | / ___ / ___ | | | / ___ / ___ || | | / ___ / ___ || | / ___ / ___ |
-9*pi*I -pi*I pi*I pi*I | | 2 + 2*\/ 5 || | | -\-2 - 2*\/ 5 / || | 4 + 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 | | | -4 + 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 || | | -4 - 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 || | 4 - 2*\/ 5 + \/ 5 *\/ 5 - \/ 5 |
-------*------*----*----*I*|pi + atan|--------------------------------------------||*|-I*atan|--------------------------------------------||*I*atan|-------------------------------------------------------------------------------------------|*I*|pi + atan|-------------------------------------------------------------------------------------------||*I*|-pi + atan|-------------------------------------------------------------------------------------------||*I*atan|-------------------------------------------------------------------------------------------|
10 2 10 2 | | ___________ ___________|| | | ___________ ___________|| | ___________ ___________ ___________ ___________| | | ___________ ___________ ___________ ___________|| | | ___________ ___________ ___________ ___________|| | ___________ ___________ ___________ ___________|
| | ___ / ___ ____ / ___ || | | ____ / ___ ___ / ___ || | ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | | ___ / ___ ___ / ___ ____ / ___ ____ / ___ || | | ____ / ___ ___ / ___ ___ / ___ ____ / ___ || | ___ / ___ ____ / ___ ____ / ___ ___ / ___ |
\ \\/ 2 *\/ 5 + \/ 5 - \/ 10 *\/ 5 + \/ 5 // \ \\/ 10 *\/ 5 + \/ 5 - \/ 2 *\/ 5 + \/ 5 // \\/ 2 *\/ 5 + \/ 5 + \/ 2 *\/ 5 - \/ 5 + \/ 10 *\/ 5 + \/ 5 - \/ 10 *\/ 5 - \/ 5 / \ \\/ 2 *\/ 5 - \/ 5 - \/ 2 *\/ 5 + \/ 5 - \/ 10 *\/ 5 + \/ 5 - \/ 10 *\/ 5 - \/ 5 // \ \\/ 10 *\/ 5 - \/ 5 - \/ 2 *\/ 5 + \/ 5 - \/ 2 *\/ 5 - \/ 5 - \/ 10 *\/ 5 + \/ 5 // \\/ 2 *\/ 5 + \/ 5 + \/ 10 *\/ 5 + \/ 5 + \/ 10 *\/ 5 - \/ 5 - \/ 2 *\/ 5 - \/ 5 /
$$i \operatorname{atan}{\left(\frac{- 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5} + 4}{- \sqrt{2} \sqrt{5 - \sqrt{5}} + \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{10} \sqrt{5 - \sqrt{5}} + \sqrt{10} \sqrt{\sqrt{5} + 5}} \right)} i \left(- \pi + \operatorname{atan}{\left(\frac{- 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5} - 4}{- \sqrt{10} \sqrt{\sqrt{5} + 5} - \sqrt{2} \sqrt{\sqrt{5} + 5} - \sqrt{2} \sqrt{5 - \sqrt{5}} + \sqrt{10} \sqrt{5 - \sqrt{5}}} \right)}\right) i \left(\operatorname{atan}{\left(\frac{-4 + 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5}}{- \sqrt{10} \sqrt{\sqrt{5} + 5} - \sqrt{10} \sqrt{5 - \sqrt{5}} - \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{2} \sqrt{5 - \sqrt{5}}} \right)} + \pi\right) i \operatorname{atan}{\left(\frac{4 + 2 \sqrt{5 - \sqrt{5}} \sqrt{\sqrt{5} + 5}}{- \sqrt{10} \sqrt{5 - \sqrt{5}} + \sqrt{2} \sqrt{5 - \sqrt{5}} + \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{10} \sqrt{\sqrt{5} + 5}} \right)} - i \operatorname{atan}{\left(- \frac{- 2 \sqrt{5} - 2}{- \sqrt{2} \sqrt{\sqrt{5} + 5} + \sqrt{10} \sqrt{\sqrt{5} + 5}} \right)} i \left(\operatorname{atan}{\left(\frac{2 + 2 \sqrt{5}}{- \sqrt{10} \sqrt{\sqrt{5} + 5} + \sqrt{2} \sqrt{\sqrt{5} + 5}} \right)} + \pi\right) \frac{i \pi}{2} \frac{i \pi}{10} \cdot - \frac{9 i \pi}{10} \left(- \frac{i \pi}{2}\right)$$
=
/ / / ___ ____\ \\ / / / ____ ___\ \\ / / ___ ____ \\ / / ___ ____\ \ / / ____ ___\ \ / ___ ____ \
4 | | 2*\\/ 2 + \/ 10 / || | | 2*\\/ 10 - \/ 2 / || | | \/ 2 + \/ 10 || | 2*\\/ 2 + \/ 10 / | | 2*\\/ 10 - \/ 2 / | | \/ 2 + \/ 10 |
-9*pi *|pi - atan|-----------------------------------------------------------------------------||*|pi - atan|-----------------------------------------------------------------------------||*|pi + atan|--------------------------||*atan|-----------------------------------------------------------------------------|*atan|-----------------------------------------------------------------------------|*atan|--------------------------|
| | ___________ ___________ ___________ ___________|| | | ___________ ___________ ___________ ___________|| | | ___________|| | ___________ ___________ ___________ ___________| | ___________ ___________ ___________ ___________| | ___________|
| | / ___ / ___ ___ / ___ ___ / ___ || | | / ___ / ___ ___ / ___ ___ / ___ || | |/ ___\ / ___ || | / ___ / ___ ___ / ___ ___ / ___ | | / ___ / ___ ___ / ___ ___ / ___ | |/ ___\ / ___ |
\ \\/ 5 + \/ 5 + \/ 5 - \/ 5 + \/ 5 *\/ 5 + \/ 5 - \/ 5 *\/ 5 - \/ 5 // \ \\/ 5 + \/ 5 - \/ 5 - \/ 5 + \/ 5 *\/ 5 + \/ 5 + \/ 5 *\/ 5 - \/ 5 // \ \\1 - \/ 5 /*\/ 5 + \/ 5 // \\/ 5 + \/ 5 + \/ 5 - \/ 5 + \/ 5 *\/ 5 + \/ 5 - \/ 5 *\/ 5 - \/ 5 / \\/ 5 + \/ 5 - \/ 5 - \/ 5 + \/ 5 *\/ 5 + \/ 5 + \/ 5 *\/ 5 - \/ 5 / \\1 - \/ 5 /*\/ 5 + \/ 5 /
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
400
$$- \frac{9 \pi^{4} \left(\pi - \operatorname{atan}{\left(\frac{2 \left(- \sqrt{2} + \sqrt{10}\right)}{- \sqrt{5 - \sqrt{5}} + \sqrt{\sqrt{5} + 5} + \sqrt{5} \sqrt{5 - \sqrt{5}} + \sqrt{5} \sqrt{\sqrt{5} + 5}} \right)}\right) \left(\pi - \operatorname{atan}{\left(\frac{2 \left(\sqrt{2} + \sqrt{10}\right)}{- \sqrt{5} \sqrt{5 - \sqrt{5}} + \sqrt{5 - \sqrt{5}} + \sqrt{\sqrt{5} + 5} + \sqrt{5} \sqrt{\sqrt{5} + 5}} \right)}\right) \left(\operatorname{atan}{\left(\frac{\sqrt{2} + \sqrt{10}}{\left(1 - \sqrt{5}\right) \sqrt{\sqrt{5} + 5}} \right)} + \pi\right) \operatorname{atan}{\left(\frac{2 \left(- \sqrt{2} + \sqrt{10}\right)}{- \sqrt{5 - \sqrt{5}} + \sqrt{\sqrt{5} + 5} + \sqrt{5} \sqrt{5 - \sqrt{5}} + \sqrt{5} \sqrt{\sqrt{5} + 5}} \right)} \operatorname{atan}{\left(\frac{2 \left(\sqrt{2} + \sqrt{10}\right)}{- \sqrt{5} \sqrt{5 - \sqrt{5}} + \sqrt{5 - \sqrt{5}} + \sqrt{\sqrt{5} + 5} + \sqrt{5} \sqrt{\sqrt{5} + 5}} \right)} \operatorname{atan}{\left(\frac{\sqrt{2} + \sqrt{10}}{\left(1 - \sqrt{5}\right) \sqrt{\sqrt{5} + 5}} \right)}}{400}$$
-9*pi^4*(pi - atan(2*(sqrt(2) + sqrt(10))/(sqrt(5 + sqrt(5)) + sqrt(5 - sqrt(5)) + sqrt(5)*sqrt(5 + sqrt(5)) - sqrt(5)*sqrt(5 - sqrt(5)))))*(pi - atan(2*(sqrt(10) - sqrt(2))/(sqrt(5 + sqrt(5)) - sqrt(5 - sqrt(5)) + sqrt(5)*sqrt(5 + sqrt(5)) + sqrt(5)*sqrt(5 - sqrt(5)))))*(pi + atan((sqrt(2) + sqrt(10))/((1 - sqrt(5))*sqrt(5 + sqrt(5)))))*atan(2*(sqrt(2) + sqrt(10))/(sqrt(5 + sqrt(5)) + sqrt(5 - sqrt(5)) + sqrt(5)*sqrt(5 + sqrt(5)) - sqrt(5)*sqrt(5 - sqrt(5))))*atan(2*(sqrt(10) - sqrt(2))/(sqrt(5 + sqrt(5)) - sqrt(5 - sqrt(5)) + sqrt(5)*sqrt(5 + sqrt(5)) + sqrt(5)*sqrt(5 - sqrt(5))))*atan((sqrt(2) + sqrt(10))/((1 - sqrt(5))*sqrt(5 + sqrt(5))))/400
Respuesta numérica
[src]
x1 = -2.82743338823081*i
x2 = -1.5707963267949*i
x3 = 0.314159265358979*i
x4 = 1.5707963267949*i
x5 = 2.19911485751286*i
x6 = -0.942477796076938*i
x7 = 0.942477796076938*i
x8 = 2.82743338823081*i
x9 = -2.19911485751286*i
x10 = -0.314159265358979*i
x10 = -0.314159265358979*i