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La ecuación:
Ecuación (x-11)^4=(x+3)^4
Ecuación x^4+2*x^2-8=0
Ecuación x-y=1
Ecuación z^2+3+4*i=0
Expresar {x} en función de y en la ecuación:
-15*x+17*y=13
4*x-7*y=4
-14*x+10*y=19
1*x+6*y=6
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
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

Ha introducido [src]

cosh(5*x) = 0

\cosh{\left(5 x \right)} = 0

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

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

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Expresiones con funciones

cosh(5*x)=0 la ecuación

Solución numérica:

Solución