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x^(3/2)-22*x^(1/2)+95=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
 3/2        ___         
x    - 22*\/ x  + 95 = 0
$$\left(x^{\frac{3}{2}} - 22 \sqrt{x}\right) + 95 = 0$$
Respuesta rápida [src]
                                                              2                                                                    2                                                                                                                                  
     /                                  _____________________\    /                                          _____________________\        /                                  _____________________\ /                                          _____________________\
     |                                 /            ________ |    |                                         /            ________ |        |                                 /            ________ | |                                         /            ________ |
     |                                /  2565   3*\/ 603249  |    |                                 ___    /  2565   3*\/ 603249  |        |                                /  2565   3*\/ 603249  | |                                 ___    /  2565   3*\/ 603249  |
     |                             3 /   ---- + ------------ |    |                ___            \/ 3 *3 /   ---- + ------------ |        |                             3 /   ---- + ------------ | |                ___            \/ 3 *3 /   ---- + ------------ |
     |            11               \/     2          2       |    |           11*\/ 3                   \/     2          2       |        |            11               \/     2          2       | |           11*\/ 3                   \/     2          2       |
x1 = |-------------------------- + --------------------------|  - |- -------------------------- + --------------------------------|  + 2*I*|-------------------------- + --------------------------|*|- -------------------------- + --------------------------------|
     |     _____________________               6             |    |       _____________________                  6                |        |     _____________________               6             | |       _____________________                  6                |
     |    /            ________                              |    |      /            ________                                    |        |    /            ________                              | |      /            ________                                    |
     |   /  2565   3*\/ 603249                               |    |     /  2565   3*\/ 603249                                     |        |   /  2565   3*\/ 603249                               | |     /  2565   3*\/ 603249                                     |
     |3 /   ---- + ------------                              |    |  3 /   ---- + ------------                                    |        |3 /   ---- + ------------                              | |  3 /   ---- + ------------                                    |
     \\/     2          2                                    /    \  \/     2          2                                          /        \\/     2          2                                    / \  \/     2          2                                          /
$$x_{1} = - \left(- \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)^{2} + \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)^{2} + 2 i \left(- \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right) \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)$$
                                                              2                                                                  2                                                                                                                                
     /                                  _____________________\    /                                        _____________________\        /                                  _____________________\ /                                        _____________________\
     |                                 /            ________ |    |                                       /            ________ |        |                                 /            ________ | |                                       /            ________ |
     |                                /  2565   3*\/ 603249  |    |                               ___    /  2565   3*\/ 603249  |        |                                /  2565   3*\/ 603249  | |                               ___    /  2565   3*\/ 603249  |
     |                             3 /   ---- + ------------ |    |              ___            \/ 3 *3 /   ---- + ------------ |        |                             3 /   ---- + ------------ | |              ___            \/ 3 *3 /   ---- + ------------ |
     |            11               \/     2          2       |    |         11*\/ 3                   \/     2          2       |        |            11               \/     2          2       | |         11*\/ 3                   \/     2          2       |
x2 = |-------------------------- + --------------------------|  - |-------------------------- - --------------------------------|  + 2*I*|-------------------------- + --------------------------|*|-------------------------- - --------------------------------|
     |     _____________________               6             |    |     _____________________                  6                |        |     _____________________               6             | |     _____________________                  6                |
     |    /            ________                              |    |    /            ________                                    |        |    /            ________                              | |    /            ________                                    |
     |   /  2565   3*\/ 603249                               |    |   /  2565   3*\/ 603249                                     |        |   /  2565   3*\/ 603249                               | |   /  2565   3*\/ 603249                                     |
     |3 /   ---- + ------------                              |    |3 /   ---- + ------------                                    |        |3 /   ---- + ------------                              | |3 /   ---- + ------------                                    |
     \\/     2          2                                    /    \\/     2          2                                          /        \\/     2          2                                    / \\/     2          2                                          /
$$x_{2} = - \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6} + \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}\right)^{2} + \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)^{2} + 2 i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6} + \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}\right) \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)$$
x2 = -(-sqrt(3)*(3*sqrt(603249)/2 + 2565/2)^(1/3)/6 + 11*sqrt(3)/(3*sqrt(603249)/2 + 2565/2)^(1/3))^2 + (11/(3*sqrt(603249)/2 + 2565/2)^(1/3) + (3*sqrt(603249)/2 + 2565/2)^(1/3)/6)^2 + 2*i*(-sqrt(3)*(3*sqrt(603249)/2 + 2565/2)^(1/3)/6 + 11*sqrt(3)/(3*sqrt(603249)/2 + 2565/2)^(1/3))*(11/(3*sqrt(603249)/2 + 2565/2)^(1/3) + (3*sqrt(603249)/2 + 2565/2)^(1/3)/6)
Suma y producto de raíces [src]
suma
                                                         2                                                                    2                                                                                                                                                                                              2                                                                  2                                                                                                                                
/                                  _____________________\    /                                          _____________________\        /                                  _____________________\ /                                          _____________________\   /                                  _____________________\    /                                        _____________________\        /                                  _____________________\ /                                        _____________________\
|                                 /            ________ |    |                                         /            ________ |        |                                 /            ________ | |                                         /            ________ |   |                                 /            ________ |    |                                       /            ________ |        |                                 /            ________ | |                                       /            ________ |
|                                /  2565   3*\/ 603249  |    |                                 ___    /  2565   3*\/ 603249  |        |                                /  2565   3*\/ 603249  | |                                 ___    /  2565   3*\/ 603249  |   |                                /  2565   3*\/ 603249  |    |                               ___    /  2565   3*\/ 603249  |        |                                /  2565   3*\/ 603249  | |                               ___    /  2565   3*\/ 603249  |
|                             3 /   ---- + ------------ |    |                ___            \/ 3 *3 /   ---- + ------------ |        |                             3 /   ---- + ------------ | |                ___            \/ 3 *3 /   ---- + ------------ |   |                             3 /   ---- + ------------ |    |              ___            \/ 3 *3 /   ---- + ------------ |        |                             3 /   ---- + ------------ | |              ___            \/ 3 *3 /   ---- + ------------ |
|            11               \/     2          2       |    |           11*\/ 3                   \/     2          2       |        |            11               \/     2          2       | |           11*\/ 3                   \/     2          2       |   |            11               \/     2          2       |    |         11*\/ 3                   \/     2          2       |        |            11               \/     2          2       | |         11*\/ 3                   \/     2          2       |
|-------------------------- + --------------------------|  - |- -------------------------- + --------------------------------|  + 2*I*|-------------------------- + --------------------------|*|- -------------------------- + --------------------------------| + |-------------------------- + --------------------------|  - |-------------------------- - --------------------------------|  + 2*I*|-------------------------- + --------------------------|*|-------------------------- - --------------------------------|
|     _____________________               6             |    |       _____________________                  6                |        |     _____________________               6             | |       _____________________                  6                |   |     _____________________               6             |    |     _____________________                  6                |        |     _____________________               6             | |     _____________________                  6                |
|    /            ________                              |    |      /            ________                                    |        |    /            ________                              | |      /            ________                                    |   |    /            ________                              |    |    /            ________                                    |        |    /            ________                              | |    /            ________                                    |
|   /  2565   3*\/ 603249                               |    |     /  2565   3*\/ 603249                                     |        |   /  2565   3*\/ 603249                               | |     /  2565   3*\/ 603249                                     |   |   /  2565   3*\/ 603249                               |    |   /  2565   3*\/ 603249                                     |        |   /  2565   3*\/ 603249                               | |   /  2565   3*\/ 603249                                     |
|3 /   ---- + ------------                              |    |  3 /   ---- + ------------                                    |        |3 /   ---- + ------------                              | |  3 /   ---- + ------------                                    |   |3 /   ---- + ------------                              |    |3 /   ---- + ------------                                    |        |3 /   ---- + ------------                              | |3 /   ---- + ------------                                    |
\\/     2          2                                    /    \  \/     2          2                                          /        \\/     2          2                                    / \  \/     2          2                                          /   \\/     2          2                                    /    \\/     2          2                                          /        \\/     2          2                                    / \\/     2          2                                          /
$$\left(- \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6} + \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}\right)^{2} + \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)^{2} + 2 i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6} + \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}\right) \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)\right) + \left(- \left(- \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)^{2} + \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)^{2} + 2 i \left(- \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right) \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)\right)$$
=
                                                                   2                                                                  2                                                              2                                                                                                                                                                                                                                                                  
  /                                          _____________________\    /                                        _____________________\      /                                  _____________________\        /                                  _____________________\ /                                          _____________________\       /                                  _____________________\ /                                        _____________________\
  |                                         /            ________ |    |                                       /            ________ |      |                                 /            ________ |        |                                 /            ________ | |                                         /            ________ |       |                                 /            ________ | |                                       /            ________ |
  |                                 ___    /  2565   3*\/ 603249  |    |                               ___    /  2565   3*\/ 603249  |      |                                /  2565   3*\/ 603249  |        |                                /  2565   3*\/ 603249  | |                                 ___    /  2565   3*\/ 603249  |       |                                /  2565   3*\/ 603249  | |                               ___    /  2565   3*\/ 603249  |
  |                ___            \/ 3 *3 /   ---- + ------------ |    |              ___            \/ 3 *3 /   ---- + ------------ |      |                             3 /   ---- + ------------ |        |                             3 /   ---- + ------------ | |                ___            \/ 3 *3 /   ---- + ------------ |       |                             3 /   ---- + ------------ | |              ___            \/ 3 *3 /   ---- + ------------ |
  |           11*\/ 3                   \/     2          2       |    |         11*\/ 3                   \/     2          2       |      |            11               \/     2          2       |        |            11               \/     2          2       | |           11*\/ 3                   \/     2          2       |       |            11               \/     2          2       | |         11*\/ 3                   \/     2          2       |
- |- -------------------------- + --------------------------------|  - |-------------------------- - --------------------------------|  + 2*|-------------------------- + --------------------------|  + 2*I*|-------------------------- + --------------------------|*|- -------------------------- + --------------------------------| + 2*I*|-------------------------- + --------------------------|*|-------------------------- - --------------------------------|
  |       _____________________                  6                |    |     _____________________                  6                |      |     _____________________               6             |        |     _____________________               6             | |       _____________________                  6                |       |     _____________________               6             | |     _____________________                  6                |
  |      /            ________                                    |    |    /            ________                                    |      |    /            ________                              |        |    /            ________                              | |      /            ________                                    |       |    /            ________                              | |    /            ________                                    |
  |     /  2565   3*\/ 603249                                     |    |   /  2565   3*\/ 603249                                     |      |   /  2565   3*\/ 603249                               |        |   /  2565   3*\/ 603249                               | |     /  2565   3*\/ 603249                                     |       |   /  2565   3*\/ 603249                               | |   /  2565   3*\/ 603249                                     |
  |  3 /   ---- + ------------                                    |    |3 /   ---- + ------------                                    |      |3 /   ---- + ------------                              |        |3 /   ---- + ------------                              | |  3 /   ---- + ------------                                    |       |3 /   ---- + ------------                              | |3 /   ---- + ------------                                    |
  \  \/     2          2                                          /    \\/     2          2                                          /      \\/     2          2                                    /        \\/     2          2                                    / \  \/     2          2                                          /       \\/     2          2                                    / \\/     2          2                                          /
$$- \left(- \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)^{2} - \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6} + \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}\right)^{2} + 2 \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)^{2} + 2 i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6} + \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}\right) \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right) + 2 i \left(- \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right) \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)$$
producto
/                                                         2                                                                    2                                                                                                                                  \ /                                                         2                                                                  2                                                                                                                                \
|/                                  _____________________\    /                                          _____________________\        /                                  _____________________\ /                                          _____________________\| |/                                  _____________________\    /                                        _____________________\        /                                  _____________________\ /                                        _____________________\|
||                                 /            ________ |    |                                         /            ________ |        |                                 /            ________ | |                                         /            ________ || ||                                 /            ________ |    |                                       /            ________ |        |                                 /            ________ | |                                       /            ________ ||
||                                /  2565   3*\/ 603249  |    |                                 ___    /  2565   3*\/ 603249  |        |                                /  2565   3*\/ 603249  | |                                 ___    /  2565   3*\/ 603249  || ||                                /  2565   3*\/ 603249  |    |                               ___    /  2565   3*\/ 603249  |        |                                /  2565   3*\/ 603249  | |                               ___    /  2565   3*\/ 603249  ||
||                             3 /   ---- + ------------ |    |                ___            \/ 3 *3 /   ---- + ------------ |        |                             3 /   ---- + ------------ | |                ___            \/ 3 *3 /   ---- + ------------ || ||                             3 /   ---- + ------------ |    |              ___            \/ 3 *3 /   ---- + ------------ |        |                             3 /   ---- + ------------ | |              ___            \/ 3 *3 /   ---- + ------------ ||
||            11               \/     2          2       |    |           11*\/ 3                   \/     2          2       |        |            11               \/     2          2       | |           11*\/ 3                   \/     2          2       || ||            11               \/     2          2       |    |         11*\/ 3                   \/     2          2       |        |            11               \/     2          2       | |         11*\/ 3                   \/     2          2       ||
||-------------------------- + --------------------------|  - |- -------------------------- + --------------------------------|  + 2*I*|-------------------------- + --------------------------|*|- -------------------------- + --------------------------------||*||-------------------------- + --------------------------|  - |-------------------------- - --------------------------------|  + 2*I*|-------------------------- + --------------------------|*|-------------------------- - --------------------------------||
||     _____________________               6             |    |       _____________________                  6                |        |     _____________________               6             | |       _____________________                  6                || ||     _____________________               6             |    |     _____________________                  6                |        |     _____________________               6             | |     _____________________                  6                ||
||    /            ________                              |    |      /            ________                                    |        |    /            ________                              | |      /            ________                                    || ||    /            ________                              |    |    /            ________                                    |        |    /            ________                              | |    /            ________                                    ||
||   /  2565   3*\/ 603249                               |    |     /  2565   3*\/ 603249                                     |        |   /  2565   3*\/ 603249                               | |     /  2565   3*\/ 603249                                     || ||   /  2565   3*\/ 603249                               |    |   /  2565   3*\/ 603249                                     |        |   /  2565   3*\/ 603249                               | |   /  2565   3*\/ 603249                                     ||
||3 /   ---- + ------------                              |    |  3 /   ---- + ------------                                    |        |3 /   ---- + ------------                              | |  3 /   ---- + ------------                                    || ||3 /   ---- + ------------                              |    |3 /   ---- + ------------                                    |        |3 /   ---- + ------------                              | |3 /   ---- + ------------                                    ||
\\\/     2          2                                    /    \  \/     2          2                                          /        \\/     2          2                                    / \  \/     2          2                                          // \\\/     2          2                                    /    \\/     2          2                                          /        \\/     2          2                                    / \\/     2          2                                          //
$$\left(- \left(- \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)^{2} + \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)^{2} + 2 i \left(- \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right) \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)\right) \left(- \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6} + \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}\right)^{2} + \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)^{2} + 2 i \left(- \frac{\sqrt{3} \sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6} + \frac{11 \sqrt{3}}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}\right) \left(\frac{11}{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}} + \frac{\sqrt[3]{\frac{3 \sqrt{603249}}{2} + \frac{2565}{2}}}{6}\right)\right)$$
=
                             _______________________                                              2/3                                   _______________________                                _____________________                                    __________________                                        _____________________                                                       2/3                                                 2/3                                                          2/3                                           __________________
                          3 /              ________                    3 ___ /           ________\                          ________ 3 /              ________                          2/3 3 /            ________                        2/3 3 ___ 3 /         ________                       2/3   ________ 3 /            ________                  3 ___   ________ /           ________\                       3 ___  2/3 /        ________\                    3 ___ 6 ___   ________ /        ________\                       2/3  5/6   ________ 3 /         ________ 
484   1911867026007004755*\/  10260 + 12*\/ 603249     394417413665925*\/ 2 *\2565 + 3*\/ 603249 /      22149089247520093*\/ 603249 *\/  10260 + 12*\/ 603249     11457351579746682675*2   *\/  2565 + 3*\/ 603249     895118558064475285*2   *\/ 3 *\/  855 + \/ 603249     44244691921214335*2   *\/ 603249 *\/  2565 + 3*\/ 603249     4569348378955*\/ 2 *\/ 603249 *\2565 + 3*\/ 603249 /      3556551467260141*\/ 2 *3   *\855 + \/ 603249 /      1526706489945*\/ 2 *\/ 3 *\/ 201083 *\855 + \/ 603249 /      384243929673825*2   *3   *\/ 201083 *\/  855 + \/ 603249  
--- - ---------------------------------------------- - ---------------------------------------------- + ------------------------------------------------------- + -------------------------------------------------- - --------------------------------------------------- - ---------------------------------------------------------- + ------------------------------------------------------- + ------------------------------------------------- - ---------------------------------------------------------- + ----------------------------------------------------------
 3                   309060919754752                                    219503494144                                        2781548277792768                                       309060919754752                                        28974461227008                                          927182759264256                                              1975531447296                                          1975531447296                                            219503494144                                                9658153742336                       
$$- \frac{44244691921214335 \cdot 2^{\frac{2}{3}} \sqrt{603249} \sqrt[3]{3 \sqrt{603249} + 2565}}{927182759264256} - \frac{895118558064475285 \cdot 2^{\frac{2}{3}} \sqrt[3]{3} \sqrt[3]{\sqrt{603249} + 855}}{28974461227008} - \frac{1526706489945 \sqrt[3]{2} \sqrt{201083} \sqrt[6]{3} \left(\sqrt{603249} + 855\right)^{\frac{2}{3}}}{219503494144} - \frac{394417413665925 \sqrt[3]{2} \left(3 \sqrt{603249} + 2565\right)^{\frac{2}{3}}}{219503494144} - \frac{1911867026007004755 \sqrt[3]{12 \sqrt{603249} + 10260}}{309060919754752} + \frac{484}{3} + \frac{22149089247520093 \sqrt{603249} \sqrt[3]{12 \sqrt{603249} + 10260}}{2781548277792768} + \frac{4569348378955 \sqrt[3]{2} \sqrt{603249} \left(3 \sqrt{603249} + 2565\right)^{\frac{2}{3}}}{1975531447296} + \frac{3556551467260141 \sqrt[3]{2} \cdot 3^{\frac{2}{3}} \left(\sqrt{603249} + 855\right)^{\frac{2}{3}}}{1975531447296} + \frac{384243929673825 \cdot 2^{\frac{2}{3}} \sqrt{201083} \cdot 3^{\frac{5}{6}} \sqrt[3]{\sqrt{603249} + 855}}{9658153742336} + \frac{11457351579746682675 \cdot 2^{\frac{2}{3}} \sqrt[3]{3 \sqrt{603249} + 2565}}{309060919754752}$$
484/3 - 1911867026007004755*(10260 + 12*sqrt(603249))^(1/3)/309060919754752 - 394417413665925*2^(1/3)*(2565 + 3*sqrt(603249))^(2/3)/219503494144 + 22149089247520093*sqrt(603249)*(10260 + 12*sqrt(603249))^(1/3)/2781548277792768 + 11457351579746682675*2^(2/3)*(2565 + 3*sqrt(603249))^(1/3)/309060919754752 - 895118558064475285*2^(2/3)*3^(1/3)*(855 + sqrt(603249))^(1/3)/28974461227008 - 44244691921214335*2^(2/3)*sqrt(603249)*(2565 + 3*sqrt(603249))^(1/3)/927182759264256 + 4569348378955*2^(1/3)*sqrt(603249)*(2565 + 3*sqrt(603249))^(2/3)/1975531447296 + 3556551467260141*2^(1/3)*3^(2/3)*(855 + sqrt(603249))^(2/3)/1975531447296 - 1526706489945*2^(1/3)*3^(1/6)*sqrt(201083)*(855 + sqrt(603249))^(2/3)/219503494144 + 384243929673825*2^(2/3)*3^(5/6)*sqrt(201083)*(855 + sqrt(603249))^(1/3)/9658153742336
Respuesta numérica [src]
x1 = 3.24443360940608 + 15.1680219774958*i
x2 = 3.24443360940608 - 15.1680219774958*i
x2 = 3.24443360940608 - 15.1680219774958*i