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-((x^3)+5*x+9)/-(-x^2-x+2)=15 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   3               
- x  - 5*x - 9     
-------------- = 15
   2               
  x  + x - 2       
$$\frac{\left(- x^{3} - 5 x\right) - 9}{\left(x^{2} + x\right) - 2} = 15$$
Gráfica
Respuesta rápida [src]
                                                                  /                                                                  /    /  ________\\              /    /  ________\\\             /    /  ________\\              /    /  ________\\
                                                                  |                                                                  |    |\/ 648579 ||              |    |\/ 648579 |||             |    |\/ 648579 ||              |    |\/ 648579 ||
                                                                  |                                                                  |atan|----------||              |atan|----------|||             |atan|----------||              |atan|----------||
                                                                  |                                                          ____    |    \   1161   /|     _____    |    \   1161   /||     ____    |    \   1161   /|     _____    |    \   1161   /|
                                                                  |                                                        \/ 55 *cos|----------------|   \/ 165 *sin|----------------||   \/ 55 *sin|----------------|   \/ 165 *cos|----------------|
               /                     1                      \     |       /                     1                      \             \       3        /              \       3        /|             \       3        /              \       3        /
x1 = -5 - 55*re|--------------------------------------------| + I*|- 55*im|--------------------------------------------| + ---------------------------- + -----------------------------| - ---------------------------- + -----------------------------
               |                     _______________________|     |       |                     _______________________|                2                               6              |                2                               6              
               |/          ___\     /              ________ |     |       |/          ___\     /              ________ |                                                               |                                                               
               ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |     |       ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |                                                               |                                                               
               ||- - - -------|*3 /   ---- + -------------- |     |       ||- - - -------|*3 /   ---- + -------------- |                                                               |                                                               
               \\  2      2   / \/     2           2        /     \       \\  2      2   / \/     2           2        /                                                               /                                                               
$$x_{1} = -5 - \frac{\sqrt{55} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{2} - 55 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)} + \frac{\sqrt{165} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{6} + i \left(- 55 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)} + \frac{\sqrt{165} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{6} + \frac{\sqrt{55} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{2}\right)$$
                                                                  /                                                                  /    /  ________\\              /    /  ________\\\             /    /  ________\\              /    /  ________\\
                                                                  |                                                                  |    |\/ 648579 ||              |    |\/ 648579 |||             |    |\/ 648579 ||              |    |\/ 648579 ||
                                                                  |                                                                  |atan|----------||              |atan|----------|||             |atan|----------||              |atan|----------||
                                                                  |                                                          ____    |    \   1161   /|     _____    |    \   1161   /||     ____    |    \   1161   /|     _____    |    \   1161   /|
                                                                  |                                                        \/ 55 *cos|----------------|   \/ 165 *sin|----------------||   \/ 55 *sin|----------------|   \/ 165 *cos|----------------|
               /                     1                      \     |       /                     1                      \             \       3        /              \       3        /|             \       3        /              \       3        /
x2 = -5 - 55*re|--------------------------------------------| + I*|- 55*im|--------------------------------------------| - ---------------------------- + -----------------------------| + ---------------------------- + -----------------------------
               |                     _______________________|     |       |                     _______________________|                2                               6              |                2                               6              
               |/          ___\     /              ________ |     |       |/          ___\     /              ________ |                                                               |                                                               
               ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |     |       ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |                                                               |                                                               
               ||- - + -------|*3 /   ---- + -------------- |     |       ||- - + -------|*3 /   ---- + -------------- |                                                               |                                                               
               \\  2      2   / \/     2           2        /     \       \\  2      2   / \/     2           2        /                                                               /                                                               
$$x_{2} = -5 + \frac{\sqrt{55} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{2} + \frac{\sqrt{165} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{6} - 55 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)} + i \left(- \frac{\sqrt{55} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{2} + \frac{\sqrt{165} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{6} - 55 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)}\right)$$
                                              _______________________
                                             /              ________ 
                                            /  3483   3*I*\/ 648579  
                                         3 /   ---- + -------------- 
                       55                \/     2           2        
x3 = -5 - ---------------------------- - ----------------------------
               _______________________                3              
              /              ________                                
             /  3483   3*I*\/ 648579                                 
          3 /   ---- + --------------                                
          \/     2           2                                       
$$x_{3} = -5 - \frac{\sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}{3} - \frac{55}{\sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}$$
x3 = -5 - (3483/2 + 3*sqrt(648579)*i/2)^(1/3)/3 - 55/(3483/2 + 3*sqrt(648579)*i/2)^(1/3)
Suma y producto de raíces [src]
suma
                                                             /                                                                  /    /  ________\\              /    /  ________\\\             /    /  ________\\              /    /  ________\\                                                                /                                                                  /    /  ________\\              /    /  ________\\\             /    /  ________\\              /    /  ________\\                                                                   
                                                             |                                                                  |    |\/ 648579 ||              |    |\/ 648579 |||             |    |\/ 648579 ||              |    |\/ 648579 ||                                                                |                                                                  |    |\/ 648579 ||              |    |\/ 648579 |||             |    |\/ 648579 ||              |    |\/ 648579 ||                                            _______________________
                                                             |                                                                  |atan|----------||              |atan|----------|||             |atan|----------||              |atan|----------||                                                                |                                                                  |atan|----------||              |atan|----------|||             |atan|----------||              |atan|----------||                                           /              ________ 
                                                             |                                                          ____    |    \   1161   /|     _____    |    \   1161   /||     ____    |    \   1161   /|     _____    |    \   1161   /|                                                                |                                                          ____    |    \   1161   /|     _____    |    \   1161   /||     ____    |    \   1161   /|     _____    |    \   1161   /|                                          /  3483   3*I*\/ 648579  
                                                             |                                                        \/ 55 *cos|----------------|   \/ 165 *sin|----------------||   \/ 55 *sin|----------------|   \/ 165 *cos|----------------|                                                                |                                                        \/ 55 *cos|----------------|   \/ 165 *sin|----------------||   \/ 55 *sin|----------------|   \/ 165 *cos|----------------|                                       3 /   ---- + -------------- 
          /                     1                      \     |       /                     1                      \             \       3        /              \       3        /|             \       3        /              \       3        /             /                     1                      \     |       /                     1                      \             \       3        /              \       3        /|             \       3        /              \       3        /                     55                \/     2           2        
-5 - 55*re|--------------------------------------------| + I*|- 55*im|--------------------------------------------| + ---------------------------- + -----------------------------| - ---------------------------- + ----------------------------- + -5 - 55*re|--------------------------------------------| + I*|- 55*im|--------------------------------------------| - ---------------------------- + -----------------------------| + ---------------------------- + ----------------------------- + -5 - ---------------------------- - ----------------------------
          |                     _______________________|     |       |                     _______________________|                2                               6              |                2                               6                           |                     _______________________|     |       |                     _______________________|                2                               6              |                2                               6                           _______________________                3              
          |/          ___\     /              ________ |     |       |/          ___\     /              ________ |                                                               |                                                                            |/          ___\     /              ________ |     |       |/          ___\     /              ________ |                                                               |                                                                           /              ________                                
          ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |     |       ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |                                                               |                                                                            ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |     |       ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |                                                               |                                                                          /  3483   3*I*\/ 648579                                 
          ||- - - -------|*3 /   ---- + -------------- |     |       ||- - - -------|*3 /   ---- + -------------- |                                                               |                                                                            ||- - + -------|*3 /   ---- + -------------- |     |       ||- - + -------|*3 /   ---- + -------------- |                                                               |                                                                       3 /   ---- + --------------                                
          \\  2      2   / \/     2           2        /     \       \\  2      2   / \/     2           2        /                                                               /                                                                            \\  2      2   / \/     2           2        /     \       \\  2      2   / \/     2           2        /                                                               /                                                                       \/     2           2                                       
$$\left(\left(-5 + \frac{\sqrt{55} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{2} + \frac{\sqrt{165} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{6} - 55 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)} + i \left(- \frac{\sqrt{55} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{2} + \frac{\sqrt{165} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{6} - 55 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)}\right)\right) + \left(-5 - \frac{\sqrt{55} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{2} - 55 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)} + \frac{\sqrt{165} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{6} + i \left(- 55 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)} + \frac{\sqrt{165} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{6} + \frac{\sqrt{55} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{2}\right)\right)\right) + \left(-5 - \frac{\sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}{3} - \frac{55}{\sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)$$
=
                                                                                                                                                                                  /                                                                  /    /  ________\\              /    /  ________\\\     /                                                                  /    /  ________\\              /    /  ________\\\              /    /  ________\\
                                                                                                                                                      _______________________     |                                                                  |    |\/ 648579 ||              |    |\/ 648579 |||     |                                                                  |    |\/ 648579 ||              |    |\/ 648579 |||              |    |\/ 648579 ||
                                                                                                                                                     /              ________      |                                                                  |atan|----------||              |atan|----------|||     |                                                                  |atan|----------||              |atan|----------|||              |atan|----------||
                                                                                                                                                    /  3483   3*I*\/ 648579       |                                                          ____    |    \   1161   /|     _____    |    \   1161   /||     |                                                          ____    |    \   1161   /|     _____    |    \   1161   /||     _____    |    \   1161   /|
                                                                                                                                                 3 /   ---- + --------------      |                                                        \/ 55 *cos|----------------|   \/ 165 *sin|----------------||     |                                                        \/ 55 *cos|----------------|   \/ 165 *sin|----------------||   \/ 165 *cos|----------------|
                   55                     /                     1                      \        /                     1                      \   \/     2           2             |       /                     1                      \             \       3        /              \       3        /|     |       /                     1                      \             \       3        /              \       3        /|              \       3        /
-15 - ---------------------------- - 55*re|--------------------------------------------| - 55*re|--------------------------------------------| - ---------------------------- + I*|- 55*im|--------------------------------------------| - ---------------------------- + -----------------------------| + I*|- 55*im|--------------------------------------------| + ---------------------------- + -----------------------------| + -----------------------------
           _______________________        |                     _______________________|        |                     _______________________|                3                   |       |                     _______________________|                2                               6              |     |       |                     _______________________|                2                               6              |                 3              
          /              ________         |/          ___\     /              ________ |        |/          ___\     /              ________ |                                    |       |/          ___\     /              ________ |                                                               |     |       |/          ___\     /              ________ |                                                               |                                
         /  3483   3*I*\/ 648579          ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |        ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |                                    |       ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |                                                               |     |       ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |                                                               |                                
      3 /   ---- + --------------         ||- - + -------|*3 /   ---- + -------------- |        ||- - - -------|*3 /   ---- + -------------- |                                    |       ||- - + -------|*3 /   ---- + -------------- |                                                               |     |       ||- - - -------|*3 /   ---- + -------------- |                                                               |                                
      \/     2           2                \\  2      2   / \/     2           2        /        \\  2      2   / \/     2           2        /                                    \       \\  2      2   / \/     2           2        /                                                               /     \       \\  2      2   / \/     2           2        /                                                               /                                
$$-15 - 55 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)} - 55 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)} + \frac{\sqrt{165} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{3} - \frac{\sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}{3} + i \left(- 55 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)} + \frac{\sqrt{165} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{6} + \frac{\sqrt{55} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{2}\right) + i \left(- \frac{\sqrt{55} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{2} + \frac{\sqrt{165} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{6} - 55 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)}\right) - \frac{55}{\sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}$$
producto
/                                                             /                                                                  /    /  ________\\              /    /  ________\\\             /    /  ________\\              /    /  ________\\\ /                                                             /                                                                  /    /  ________\\              /    /  ________\\\             /    /  ________\\              /    /  ________\\\                                                                   
|                                                             |                                                                  |    |\/ 648579 ||              |    |\/ 648579 |||             |    |\/ 648579 ||              |    |\/ 648579 ||| |                                                             |                                                                  |    |\/ 648579 ||              |    |\/ 648579 |||             |    |\/ 648579 ||              |    |\/ 648579 ||| /                                         _______________________\
|                                                             |                                                                  |atan|----------||              |atan|----------|||             |atan|----------||              |atan|----------||| |                                                             |                                                                  |atan|----------||              |atan|----------|||             |atan|----------||              |atan|----------||| |                                        /              ________ |
|                                                             |                                                          ____    |    \   1161   /|     _____    |    \   1161   /||     ____    |    \   1161   /|     _____    |    \   1161   /|| |                                                             |                                                          ____    |    \   1161   /|     _____    |    \   1161   /||     ____    |    \   1161   /|     _____    |    \   1161   /|| |                                       /  3483   3*I*\/ 648579  |
|                                                             |                                                        \/ 55 *cos|----------------|   \/ 165 *sin|----------------||   \/ 55 *sin|----------------|   \/ 165 *cos|----------------|| |                                                             |                                                        \/ 55 *cos|----------------|   \/ 165 *sin|----------------||   \/ 55 *sin|----------------|   \/ 165 *cos|----------------|| |                                    3 /   ---- + -------------- |
|          /                     1                      \     |       /                     1                      \             \       3        /              \       3        /|             \       3        /              \       3        /| |          /                     1                      \     |       /                     1                      \             \       3        /              \       3        /|             \       3        /              \       3        /| |                  55                \/     2           2        |
|-5 - 55*re|--------------------------------------------| + I*|- 55*im|--------------------------------------------| + ---------------------------- + -----------------------------| - ---------------------------- + -----------------------------|*|-5 - 55*re|--------------------------------------------| + I*|- 55*im|--------------------------------------------| - ---------------------------- + -----------------------------| + ---------------------------- + -----------------------------|*|-5 - ---------------------------- - ----------------------------|
|          |                     _______________________|     |       |                     _______________________|                2                               6              |                2                               6              | |          |                     _______________________|     |       |                     _______________________|                2                               6              |                2                               6              | |          _______________________                3              |
|          |/          ___\     /              ________ |     |       |/          ___\     /              ________ |                                                               |                                                               | |          |/          ___\     /              ________ |     |       |/          ___\     /              ________ |                                                               |                                                               | |         /              ________                                |
|          ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |     |       ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |                                                               |                                                               | |          ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |     |       ||  1   I*\/ 3 |    /  3483   3*I*\/ 648579  |                                                               |                                                               | |        /  3483   3*I*\/ 648579                                 |
|          ||- - - -------|*3 /   ---- + -------------- |     |       ||- - - -------|*3 /   ---- + -------------- |                                                               |                                                               | |          ||- - + -------|*3 /   ---- + -------------- |     |       ||- - + -------|*3 /   ---- + -------------- |                                                               |                                                               | |     3 /   ---- + --------------                                |
\          \\  2      2   / \/     2           2        /     \       \\  2      2   / \/     2           2        /                                                               /                                                               / \          \\  2      2   / \/     2           2        /     \       \\  2      2   / \/     2           2        /                                                               /                                                               / \     \/     2           2                                       /
$$\left(-5 - \frac{\sqrt{55} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{2} - 55 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)} + \frac{\sqrt{165} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{6} + i \left(- 55 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)} + \frac{\sqrt{165} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{6} + \frac{\sqrt{55} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{2}\right)\right) \left(-5 + \frac{\sqrt{55} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{2} + \frac{\sqrt{165} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{6} - 55 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)} + i \left(- \frac{\sqrt{55} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{2} + \frac{\sqrt{165} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}}{6} - 55 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)}\right)\right) \left(-5 - \frac{\sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}{3} - \frac{55}{\sqrt[3]{\frac{3483}{2} + \frac{3 \sqrt{648579} i}{2}}}\right)$$
=
                                                                                     /               /      /  ________\\                  /    /  ________\\\
                                                                                     |               |      |\/ 648579 ||                  |    |\/ 648579 |||
     /               _______________________ /             _______________________\\ |               |2*atan|----------||                  |atan|----------|||
 2/3 |    3 ___   3 /              ________  |      2/3 3 /              ________ || |               |      \   1161   /|         _____    |    \   1161   /||
3   *\330*\/ 2  + \/  3483 + 3*I*\/ 648579  *\30 + 2   *\/  3483 + 3*I*\/ 648579  //*|-240 - 1320*cos|------------------| + 120*\/ 165 *cos|----------------||
                                                                                     \               \        3         /                  \       3        //
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                                                                        _____________________                                                                 
                                                                     3 /            ________                                                                  
                                                                 648*\/  1161 + I*\/ 648579                                                                   
$$\frac{3^{\frac{2}{3}} \left(330 \sqrt[3]{2} + \left(30 + 2^{\frac{2}{3}} \sqrt[3]{3483 + 3 \sqrt{648579} i}\right) \sqrt[3]{3483 + 3 \sqrt{648579} i}\right) \left(- 1320 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)} - 240 + 120 \sqrt{165} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{648579}}{1161} \right)}}{3} \right)}\right)}{648 \sqrt[3]{1161 + \sqrt{648579} i}}$$
3^(2/3)*(330*2^(1/3) + (3483 + 3*i*sqrt(648579))^(1/3)*(30 + 2^(2/3)*(3483 + 3*i*sqrt(648579))^(1/3)))*(-240 - 1320*cos(2*atan(sqrt(648579)/1161)/3) + 120*sqrt(165)*cos(atan(sqrt(648579)/1161)/3))/(648*(1161 + i*sqrt(648579))^(1/3))
Respuesta numérica [src]
x1 = -2.2944688203985 + 0.e-19*i
x2 = 0.683574067801994 + 0.e-20*i
x3 = -13.3891052474035 + 0.e-22*i
x3 = -13.3891052474035 + 0.e-22*i