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1/(x-2)=-x^2+5x-1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
  1        2          
----- = - x  + 5*x - 1
x - 2                 
$$\frac{1}{x - 2} = \left(- x^{2} + 5 x\right) - 1$$
Gráfica
Respuesta rápida [src]
                                       /                   1                   \     /                                /                   1                   \                               \                               
              /    /    _____\\   16*re|---------------------------------------|     |       /    /    _____\\   16*im|---------------------------------------|              /    /    _____\\|              /    /    _____\\
              |    |3*\/ 111 ||        |                     __________________|     |       |    |3*\/ 111 ||        |                     __________________|              |    |3*\/ 111 |||              |    |3*\/ 111 ||
              |atan|---------||        |/          ___\     /            _____ |     |       |atan|---------||        |/          ___\     /            _____ |              |atan|---------|||              |atan|---------||
              |    \    5    /|        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |     |       |    \    5    /|        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |       ___    |    \    5    /||       ___    |    \    5    /|
         2*cos|---------------|        ||- - - -------|*3 /   -- + ----------- |     |  2*sin|---------------|        ||- - - -------|*3 /   -- + ----------- |   2*\/ 3 *cos|---------------||   2*\/ 3 *sin|---------------|
     7        \       3       /        \\  2      2   / \/    27        9      /     |       \       3       /        \\  2      2   / \/    27        9      /              \       3       /|              \       3       /
x1 = - - ---------------------- + ---------------------------------------------- + I*|- ---------------------- + ---------------------------------------------- - ----------------------------| + ----------------------------
     3             3                                    9                            \            3                                    9                                       3              /                3              
$$x_{1} = - \frac{2 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{16 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9} + \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{7}{3} + i \left(- \frac{2 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} - \frac{2 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{16 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9}\right)$$
                                       /                   1                   \     /                                /                   1                   \                               \                               
              /    /    _____\\   16*re|---------------------------------------|     |       /    /    _____\\   16*im|---------------------------------------|              /    /    _____\\|              /    /    _____\\
              |    |3*\/ 111 ||        |                     __________________|     |       |    |3*\/ 111 ||        |                     __________________|              |    |3*\/ 111 |||              |    |3*\/ 111 ||
              |atan|---------||        |/          ___\     /            _____ |     |       |atan|---------||        |/          ___\     /            _____ |              |atan|---------|||              |atan|---------||
              |    \    5    /|        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |     |       |    \    5    /|        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |       ___    |    \    5    /||       ___    |    \    5    /|
         2*cos|---------------|        ||- - + -------|*3 /   -- + ----------- |     |  2*sin|---------------|        ||- - + -------|*3 /   -- + ----------- |   2*\/ 3 *cos|---------------||   2*\/ 3 *sin|---------------|
     7        \       3       /        \\  2      2   / \/    27        9      /     |       \       3       /        \\  2      2   / \/    27        9      /              \       3       /|              \       3       /
x2 = - - ---------------------- + ---------------------------------------------- + I*|- ---------------------- + ---------------------------------------------- + ----------------------------| - ----------------------------
     3             3                                    9                            \            3                                    9                                       3              /                3              
$$x_{2} = \frac{16 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9} - \frac{2 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} - \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{7}{3} + i \left(\frac{16 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9} - \frac{2 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{2 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3}\right)$$
              __________________                            
             /            _____                             
     7      /  10   2*I*\/ 111                 16           
x3 = - + 3 /   -- + -----------  + -------------------------
     3   \/    27        9                __________________
                                         /            _____ 
                                        /  10   2*I*\/ 111  
                                   9*3 /   -- + ----------- 
                                     \/    27        9      
$$x_{3} = \frac{7}{3} + \frac{16}{9 \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}} + \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}$$
x3 = 7/3 + 16/(9*(10/27 + 2*sqrt(111)*i/9)^(1/3)) + (10/27 + 2*sqrt(111)*i/9)^(1/3)
Suma y producto de raíces [src]
suma
                                  /                   1                   \     /                                /                   1                   \                               \                                                                    /                   1                   \     /                                /                   1                   \                               \                                                                                         
         /    /    _____\\   16*re|---------------------------------------|     |       /    /    _____\\   16*im|---------------------------------------|              /    /    _____\\|              /    /    _____\\            /    /    _____\\   16*re|---------------------------------------|     |       /    /    _____\\   16*im|---------------------------------------|              /    /    _____\\|              /    /    _____\\                                                          
         |    |3*\/ 111 ||        |                     __________________|     |       |    |3*\/ 111 ||        |                     __________________|              |    |3*\/ 111 |||              |    |3*\/ 111 ||            |    |3*\/ 111 ||        |                     __________________|     |       |    |3*\/ 111 ||        |                     __________________|              |    |3*\/ 111 |||              |    |3*\/ 111 ||                                                          
         |atan|---------||        |/          ___\     /            _____ |     |       |atan|---------||        |/          ___\     /            _____ |              |atan|---------|||              |atan|---------||            |atan|---------||        |/          ___\     /            _____ |     |       |atan|---------||        |/          ___\     /            _____ |              |atan|---------|||              |atan|---------||                                                          
         |    \    5    /|        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |     |       |    \    5    /|        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |       ___    |    \    5    /||       ___    |    \    5    /|            |    \    5    /|        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |     |       |    \    5    /|        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |       ___    |    \    5    /||       ___    |    \    5    /|            __________________                            
    2*cos|---------------|        ||- - - -------|*3 /   -- + ----------- |     |  2*sin|---------------|        ||- - - -------|*3 /   -- + ----------- |   2*\/ 3 *cos|---------------||   2*\/ 3 *sin|---------------|       2*cos|---------------|        ||- - + -------|*3 /   -- + ----------- |     |  2*sin|---------------|        ||- - + -------|*3 /   -- + ----------- |   2*\/ 3 *cos|---------------||   2*\/ 3 *sin|---------------|           /            _____                             
7        \       3       /        \\  2      2   / \/    27        9      /     |       \       3       /        \\  2      2   / \/    27        9      /              \       3       /|              \       3       /   7        \       3       /        \\  2      2   / \/    27        9      /     |       \       3       /        \\  2      2   / \/    27        9      /              \       3       /|              \       3       /   7      /  10   2*I*\/ 111                 16           
- - ---------------------- + ---------------------------------------------- + I*|- ---------------------- + ---------------------------------------------- - ----------------------------| + ---------------------------- + - - ---------------------- + ---------------------------------------------- + I*|- ---------------------- + ---------------------------------------------- + ----------------------------| - ---------------------------- + - + 3 /   -- + -----------  + -------------------------
3             3                                    9                            \            3                                    9                                       3              /                3                 3             3                                    9                            \            3                                    9                                       3              /                3                 3   \/    27        9                __________________
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            /            _____ 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           /  10   2*I*\/ 111  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      9*3 /   -- + ----------- 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        \/    27        9      
$$\left(\frac{7}{3} + \frac{16}{9 \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}} + \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}\right) + \left(\left(- \frac{2 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{16 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9} + \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{7}{3} + i \left(- \frac{2 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} - \frac{2 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{16 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9}\right)\right) + \left(\frac{16 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9} - \frac{2 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} - \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{7}{3} + i \left(\frac{16 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9} - \frac{2 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{2 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3}\right)\right)\right)$$
=
                                                                                        /                   1                   \        /                   1                   \     /                                /                   1                   \                               \     /                                /                   1                   \                               \
                                   /    /    _____\\                               16*re|---------------------------------------|   16*re|---------------------------------------|     |       /    /    _____\\   16*im|---------------------------------------|              /    /    _____\\|     |       /    /    _____\\   16*im|---------------------------------------|              /    /    _____\\|
                                   |    |3*\/ 111 ||                                    |                     __________________|        |                     __________________|     |       |    |3*\/ 111 ||        |                     __________________|              |    |3*\/ 111 |||     |       |    |3*\/ 111 ||        |                     __________________|              |    |3*\/ 111 |||
                                   |atan|---------||                                    |/          ___\     /            _____ |        |/          ___\     /            _____ |     |       |atan|---------||        |/          ___\     /            _____ |              |atan|---------|||     |       |atan|---------||        |/          ___\     /            _____ |              |atan|---------|||
         __________________        |    \    5    /|                                    ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |     |       |    \    5    /|        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |       ___    |    \    5    /||     |       |    \    5    /|        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |       ___    |    \    5    /||
        /            _____    4*cos|---------------|                                    ||- - + -------|*3 /   -- + ----------- |        ||- - - -------|*3 /   -- + ----------- |     |  2*sin|---------------|        ||- - + -------|*3 /   -- + ----------- |   2*\/ 3 *cos|---------------||     |  2*sin|---------------|        ||- - - -------|*3 /   -- + ----------- |   2*\/ 3 *cos|---------------||
       /  10   2*I*\/ 111          \       3       /               16                   \\  2      2   / \/    27        9      /        \\  2      2   / \/    27        9      /     |       \       3       /        \\  2      2   / \/    27        9      /              \       3       /|     |       \       3       /        \\  2      2   / \/    27        9      /              \       3       /|
7 + 3 /   -- + -----------  - ---------------------- + ------------------------- + ---------------------------------------------- + ---------------------------------------------- + I*|- ---------------------- + ---------------------------------------------- + ----------------------------| + I*|- ---------------------- + ---------------------------------------------- - ----------------------------|
    \/    27        9                   3                     __________________                         9                                                9                            \            3                                    9                                       3              /     \            3                                    9                                       3              /
                                                             /            _____                                                                                                                                                                                                                                                                                                                                 
                                                            /  10   2*I*\/ 111                                                                                                                                                                                                                                                                                                                                  
                                                       9*3 /   -- + -----------                                                                                                                                                                                                                                                                                                                                 
                                                         \/    27        9                                                                                                                                                                                                                                                                                                                                      
$$- \frac{4 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{16 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9} + \frac{16 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9} + 7 + \frac{16}{9 \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}} + i \left(- \frac{2 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} - \frac{2 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{16 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9}\right) + i \left(\frac{16 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9} - \frac{2 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{2 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3}\right) + \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}$$
producto
/                                  /                   1                   \     /                                /                   1                   \                               \                               \ /                                  /                   1                   \     /                                /                   1                   \                               \                               \                                                          
|         /    /    _____\\   16*re|---------------------------------------|     |       /    /    _____\\   16*im|---------------------------------------|              /    /    _____\\|              /    /    _____\\| |         /    /    _____\\   16*re|---------------------------------------|     |       /    /    _____\\   16*im|---------------------------------------|              /    /    _____\\|              /    /    _____\\|                                                          
|         |    |3*\/ 111 ||        |                     __________________|     |       |    |3*\/ 111 ||        |                     __________________|              |    |3*\/ 111 |||              |    |3*\/ 111 ||| |         |    |3*\/ 111 ||        |                     __________________|     |       |    |3*\/ 111 ||        |                     __________________|              |    |3*\/ 111 |||              |    |3*\/ 111 |||                                                          
|         |atan|---------||        |/          ___\     /            _____ |     |       |atan|---------||        |/          ___\     /            _____ |              |atan|---------|||              |atan|---------||| |         |atan|---------||        |/          ___\     /            _____ |     |       |atan|---------||        |/          ___\     /            _____ |              |atan|---------|||              |atan|---------|||                                                          
|         |    \    5    /|        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |     |       |    \    5    /|        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |       ___    |    \    5    /||       ___    |    \    5    /|| |         |    \    5    /|        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |     |       |    \    5    /|        ||  1   I*\/ 3 |    /  10   2*I*\/ 111  |       ___    |    \    5    /||       ___    |    \    5    /|| /         __________________                            \
|    2*cos|---------------|        ||- - - -------|*3 /   -- + ----------- |     |  2*sin|---------------|        ||- - - -------|*3 /   -- + ----------- |   2*\/ 3 *cos|---------------||   2*\/ 3 *sin|---------------|| |    2*cos|---------------|        ||- - + -------|*3 /   -- + ----------- |     |  2*sin|---------------|        ||- - + -------|*3 /   -- + ----------- |   2*\/ 3 *cos|---------------||   2*\/ 3 *sin|---------------|| |        /            _____                             |
|7        \       3       /        \\  2      2   / \/    27        9      /     |       \       3       /        \\  2      2   / \/    27        9      /              \       3       /|              \       3       /| |7        \       3       /        \\  2      2   / \/    27        9      /     |       \       3       /        \\  2      2   / \/    27        9      /              \       3       /|              \       3       /| |7      /  10   2*I*\/ 111                 16           |
|- - ---------------------- + ---------------------------------------------- + I*|- ---------------------- + ---------------------------------------------- - ----------------------------| + ----------------------------|*|- - ---------------------- + ---------------------------------------------- + I*|- ---------------------- + ---------------------------------------------- + ----------------------------| - ----------------------------|*|- + 3 /   -- + -----------  + -------------------------|
\3             3                                    9                            \            3                                    9                                       3              /                3              / \3             3                                    9                            \            3                                    9                                       3              /                3              / |3   \/    27        9                __________________|
                                                                                                                                                                                                                                                                                                                                                                                                                                                        |                                    /            _____ |
                                                                                                                                                                                                                                                                                                                                                                                                                                                        |                                   /  10   2*I*\/ 111  |
                                                                                                                                                                                                                                                                                                                                                                                                                                                        |                              9*3 /   -- + ----------- |
                                                                                                                                                                                                                                                                                                                                                                                                                                                        \                                \/    27        9      /
$$\left(- \frac{2 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{16 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9} + \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{7}{3} + i \left(- \frac{2 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} - \frac{2 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{16 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9}\right)\right) \left(\frac{16 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9} - \frac{2 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} - \frac{2 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{7}{3} + i \left(\frac{16 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}}\right)}}{9} - \frac{2 \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3} + \frac{2 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)}}{3}\right)\right) \left(\frac{7}{3} + \frac{16}{9 \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}} + \sqrt[3]{\frac{10}{27} + \frac{2 \sqrt{111} i}{9}}\right)$$
=
                                                              /           /    /    _____\\         /      /    _____\\\
                                                              |           |    |3*\/ 111 ||         |      |3*\/ 111 |||
     /        __________________ /       __________________\\ |           |atan|---------||         |2*atan|---------|||
 2/3 |     3 /            _____  |    3 /            _____ || |           |    \    5    /|         |      \    5    /||
2   *\16 + \/  10 + 6*I*\/ 111  *\7 + \/  10 + 6*I*\/ 111  //*|33 - 56*cos|---------------| + 32*cos|-----------------||
                                                              \           \       3       /         \        3        //
------------------------------------------------------------------------------------------------------------------------
                                                      _________________                                                 
                                                   3 /           _____                                                  
                                                54*\/  5 + 3*I*\/ 111                                                   
$$\frac{2^{\frac{2}{3}} \left(16 + \left(7 + \sqrt[3]{10 + 6 \sqrt{111} i}\right) \sqrt[3]{10 + 6 \sqrt{111} i}\right) \left(- 56 \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)} + 32 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{3 \sqrt{111}}{5} \right)}}{3} \right)} + 33\right)}{54 \sqrt[3]{5 + 3 \sqrt{111} i}}$$
2^(2/3)*(16 + (10 + 6*i*sqrt(111))^(1/3)*(7 + (10 + 6*i*sqrt(111))^(1/3)))*(33 - 56*cos(atan(3*sqrt(111)/5)/3) + 32*cos(2*atan(3*sqrt(111)/5)/3))/(54*(5 + 3*i*sqrt(111))^(1/3))
Respuesta numérica [src]
x1 = 2.19393656647463 + 0.e-22*i
x2 = 0.0967880740884467 + 0.e-23*i
x3 = 4.70927535943692 - 0.e-21*i
x3 = 4.70927535943692 - 0.e-21*i