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2*x/x+2-x-1/x-3=10/(3-x)*(x+2) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
2*x           1         10         
--- + 2 - x - - - 3 = -----*(x + 2)
 x            x       3 - x        
$$\left(\left(- x + \left(2 + \frac{2 x}{x}\right)\right) - \frac{1}{x}\right) - 3 = \frac{10}{3 - x} \left(x + 2\right)$$
Gráfica
Respuesta rápida [src]
                /                    1                    \     /      /                    1                    \                                                                 \                                                                 
          244*re|-----------------------------------------|     |244*im|-----------------------------------------|             /    /    _______\\              /    /    _______\\|             /    /    _______\\              /    /    _______\\
                |                     ____________________|     |      |                     ____________________|             |    |3*\/ 63879 ||              |    |3*\/ 63879 |||             |    |3*\/ 63879 ||              |    |3*\/ 63879 ||
                |/          ___\     /            _______ |     |      |/          ___\     /            _______ |             |atan|-----------||              |atan|-----------|||             |atan|-----------||              |atan|-----------||
                ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     |      ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     ____    |    \    7585   /|     _____    |    \    7585   /||     ____    |    \    7585   /|     _____    |    \    7585   /|
                ||- - - -------|*3 /   ---- + ----------- |     |      ||- - - -------|*3 /   ---- + ----------- |   \/ 61 *sin|-----------------|   \/ 183 *cos|-----------------||   \/ 61 *cos|-----------------|   \/ 183 *sin|-----------------|
     14         \\  2      2   / \/     54         18     /     |      \\  2      2   / \/     54         18     /             \        3        /              \        3        /|             \        3        /              \        3        /
x1 = -- + ------------------------------------------------- + I*|------------------------------------------------- - ----------------------------- - ------------------------------| - ----------------------------- + ------------------------------
     3                            9                             \                        9                                         3                               3               /                 3                               3               
$$x_{1} = - \frac{\sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} + \frac{\sqrt{183} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{14}{3} + i \left(- \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9}\right)$$
                /                    1                    \     /      /                    1                    \                                                                 \                                                                 
          244*re|-----------------------------------------|     |244*im|-----------------------------------------|             /    /    _______\\              /    /    _______\\|             /    /    _______\\              /    /    _______\\
                |                     ____________________|     |      |                     ____________________|             |    |3*\/ 63879 ||              |    |3*\/ 63879 |||             |    |3*\/ 63879 ||              |    |3*\/ 63879 ||
                |/          ___\     /            _______ |     |      |/          ___\     /            _______ |             |atan|-----------||              |atan|-----------|||             |atan|-----------||              |atan|-----------||
                ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     |      ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     ____    |    \    7585   /|     _____    |    \    7585   /||     ____    |    \    7585   /|     _____    |    \    7585   /|
                ||- - + -------|*3 /   ---- + ----------- |     |      ||- - + -------|*3 /   ---- + ----------- |   \/ 61 *sin|-----------------|   \/ 183 *cos|-----------------||   \/ 61 *cos|-----------------|   \/ 183 *sin|-----------------|
     14         \\  2      2   / \/     54         18     /     |      \\  2      2   / \/     54         18     /             \        3        /              \        3        /|             \        3        /              \        3        /
x2 = -- + ------------------------------------------------- + I*|------------------------------------------------- - ----------------------------- + ------------------------------| - ----------------------------- - ------------------------------
     3                            9                             \                        9                                         3                               3               /                 3                               3               
$$x_{2} = \frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} - \frac{\sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} - \frac{\sqrt{183} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{14}{3} + i \left(\frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3}\right)$$
               ____________________                              
              /            _______                               
     14      /  7585   I*\/ 63879                 244            
x3 = -- + 3 /   ---- + -----------  + ---------------------------
     3    \/     54         18               ____________________
                                            /            _______ 
                                           /  7585   I*\/ 63879  
                                      9*3 /   ---- + ----------- 
                                        \/     54         18     
$$x_{3} = \frac{14}{3} + \frac{244}{9 \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}} + \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}$$
x3 = 14/3 + 244/(9*(7585/54 + sqrt(63879)*i/18)^(1/3)) + (7585/54 + sqrt(63879)*i/18)^(1/3)
Suma y producto de raíces [src]
suma
           /                    1                    \     /      /                    1                    \                                                                 \                                                                               /                    1                    \     /      /                    1                    \                                                                 \                                                                                                                                
     244*re|-----------------------------------------|     |244*im|-----------------------------------------|             /    /    _______\\              /    /    _______\\|             /    /    _______\\              /    /    _______\\        244*re|-----------------------------------------|     |244*im|-----------------------------------------|             /    /    _______\\              /    /    _______\\|             /    /    _______\\              /    /    _______\\                                                               
           |                     ____________________|     |      |                     ____________________|             |    |3*\/ 63879 ||              |    |3*\/ 63879 |||             |    |3*\/ 63879 ||              |    |3*\/ 63879 ||              |                     ____________________|     |      |                     ____________________|             |    |3*\/ 63879 ||              |    |3*\/ 63879 |||             |    |3*\/ 63879 ||              |    |3*\/ 63879 ||                                                               
           |/          ___\     /            _______ |     |      |/          ___\     /            _______ |             |atan|-----------||              |atan|-----------|||             |atan|-----------||              |atan|-----------||              |/          ___\     /            _______ |     |      |/          ___\     /            _______ |             |atan|-----------||              |atan|-----------|||             |atan|-----------||              |atan|-----------||                                                               
           ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     |      ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     ____    |    \    7585   /|     _____    |    \    7585   /||     ____    |    \    7585   /|     _____    |    \    7585   /|              ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     |      ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     ____    |    \    7585   /|     _____    |    \    7585   /||     ____    |    \    7585   /|     _____    |    \    7585   /|             ____________________                              
           ||- - - -------|*3 /   ---- + ----------- |     |      ||- - - -------|*3 /   ---- + ----------- |   \/ 61 *sin|-----------------|   \/ 183 *cos|-----------------||   \/ 61 *cos|-----------------|   \/ 183 *sin|-----------------|              ||- - + -------|*3 /   ---- + ----------- |     |      ||- - + -------|*3 /   ---- + ----------- |   \/ 61 *sin|-----------------|   \/ 183 *cos|-----------------||   \/ 61 *cos|-----------------|   \/ 183 *sin|-----------------|            /            _______                               
14         \\  2      2   / \/     54         18     /     |      \\  2      2   / \/     54         18     /             \        3        /              \        3        /|             \        3        /              \        3        /   14         \\  2      2   / \/     54         18     /     |      \\  2      2   / \/     54         18     /             \        3        /              \        3        /|             \        3        /              \        3        /   14      /  7585   I*\/ 63879                 244            
-- + ------------------------------------------------- + I*|------------------------------------------------- - ----------------------------- - ------------------------------| - ----------------------------- + ------------------------------ + -- + ------------------------------------------------- + I*|------------------------------------------------- - ----------------------------- + ------------------------------| - ----------------------------- - ------------------------------ + -- + 3 /   ---- + -----------  + ---------------------------
3                            9                             \                        9                                         3                               3               /                 3                               3                  3                            9                             \                        9                                         3                               3               /                 3                               3                  3    \/     54         18               ____________________
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             /            _______ 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            /  7585   I*\/ 63879  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       9*3 /   ---- + ----------- 
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \/     54         18     
$$\left(\frac{14}{3} + \frac{244}{9 \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}} + \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}\right) + \left(\left(- \frac{\sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} + \frac{\sqrt{183} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{14}{3} + i \left(- \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9}\right)\right) + \left(\frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} - \frac{\sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} - \frac{\sqrt{183} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{14}{3} + i \left(\frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3}\right)\right)\right)$$
=
                                                                     /                    1                    \         /                    1                    \     /      /                    1                    \                                                                 \     /      /                    1                    \                                                                 \                                  
                                                               244*re|-----------------------------------------|   244*re|-----------------------------------------|     |244*im|-----------------------------------------|             /    /    _______\\              /    /    _______\\|     |244*im|-----------------------------------------|             /    /    _______\\              /    /    _______\\|               /    /    _______\\
                                                                     |                     ____________________|         |                     ____________________|     |      |                     ____________________|             |    |3*\/ 63879 ||              |    |3*\/ 63879 |||     |      |                     ____________________|             |    |3*\/ 63879 ||              |    |3*\/ 63879 |||               |    |3*\/ 63879 ||
                                                                     |/          ___\     /            _______ |         |/          ___\     /            _______ |     |      |/          ___\     /            _______ |             |atan|-----------||              |atan|-----------|||     |      |/          ___\     /            _______ |             |atan|-----------||              |atan|-----------|||               |atan|-----------||
          ____________________                                       ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |         ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     |      ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     ____    |    \    7585   /|     _____    |    \    7585   /||     |      ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     ____    |    \    7585   /|     _____    |    \    7585   /||       ____    |    \    7585   /|
         /            _______                                        ||- - + -------|*3 /   ---- + ----------- |         ||- - - -------|*3 /   ---- + ----------- |     |      ||- - + -------|*3 /   ---- + ----------- |   \/ 61 *sin|-----------------|   \/ 183 *cos|-----------------||     |      ||- - - -------|*3 /   ---- + ----------- |   \/ 61 *sin|-----------------|   \/ 183 *cos|-----------------||   2*\/ 61 *cos|-----------------|
        /  7585   I*\/ 63879                 244                     \\  2      2   / \/     54         18     /         \\  2      2   / \/     54         18     /     |      \\  2      2   / \/     54         18     /             \        3        /              \        3        /|     |      \\  2      2   / \/     54         18     /             \        3        /              \        3        /|               \        3        /
14 + 3 /   ---- + -----------  + --------------------------- + ------------------------------------------------- + ------------------------------------------------- + I*|------------------------------------------------- - ----------------------------- + ------------------------------| + I*|------------------------------------------------- - ----------------------------- - ------------------------------| - -------------------------------
     \/     54         18               ____________________                           9                                                   9                             \                        9                                         3                               3               /     \                        9                                         3                               3               /                  3               
                                       /            _______                                                                                                                                                                                                                                                                                                                                                                                             
                                      /  7585   I*\/ 63879                                                                                                                                                                                                                                                                                                                                                                                              
                                 9*3 /   ---- + -----------                                                                                                                                                                                                                                                                                                                                                                                             
                                   \/     54         18                                                                                                                                                                                                                                                                                                                                                                                                 
$$- \frac{2 \sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} + \frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} + 14 + \frac{244}{9 \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}} + i \left(- \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9}\right) + i \left(\frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3}\right) + \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}$$
producto
/           /                    1                    \     /      /                    1                    \                                                                 \                                                                 \ /           /                    1                    \     /      /                    1                    \                                                                 \                                                                 \                                                               
|     244*re|-----------------------------------------|     |244*im|-----------------------------------------|             /    /    _______\\              /    /    _______\\|             /    /    _______\\              /    /    _______\\| |     244*re|-----------------------------------------|     |244*im|-----------------------------------------|             /    /    _______\\              /    /    _______\\|             /    /    _______\\              /    /    _______\\|                                                               
|           |                     ____________________|     |      |                     ____________________|             |    |3*\/ 63879 ||              |    |3*\/ 63879 |||             |    |3*\/ 63879 ||              |    |3*\/ 63879 ||| |           |                     ____________________|     |      |                     ____________________|             |    |3*\/ 63879 ||              |    |3*\/ 63879 |||             |    |3*\/ 63879 ||              |    |3*\/ 63879 |||                                                               
|           |/          ___\     /            _______ |     |      |/          ___\     /            _______ |             |atan|-----------||              |atan|-----------|||             |atan|-----------||              |atan|-----------||| |           |/          ___\     /            _______ |     |      |/          ___\     /            _______ |             |atan|-----------||              |atan|-----------|||             |atan|-----------||              |atan|-----------|||                                                               
|           ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     |      ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     ____    |    \    7585   /|     _____    |    \    7585   /||     ____    |    \    7585   /|     _____    |    \    7585   /|| |           ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     |      ||  1   I*\/ 3 |    /  7585   I*\/ 63879  |     ____    |    \    7585   /|     _____    |    \    7585   /||     ____    |    \    7585   /|     _____    |    \    7585   /|| /          ____________________                              \
|           ||- - - -------|*3 /   ---- + ----------- |     |      ||- - - -------|*3 /   ---- + ----------- |   \/ 61 *sin|-----------------|   \/ 183 *cos|-----------------||   \/ 61 *cos|-----------------|   \/ 183 *sin|-----------------|| |           ||- - + -------|*3 /   ---- + ----------- |     |      ||- - + -------|*3 /   ---- + ----------- |   \/ 61 *sin|-----------------|   \/ 183 *cos|-----------------||   \/ 61 *cos|-----------------|   \/ 183 *sin|-----------------|| |         /            _______                               |
|14         \\  2      2   / \/     54         18     /     |      \\  2      2   / \/     54         18     /             \        3        /              \        3        /|             \        3        /              \        3        /| |14         \\  2      2   / \/     54         18     /     |      \\  2      2   / \/     54         18     /             \        3        /              \        3        /|             \        3        /              \        3        /| |14      /  7585   I*\/ 63879                 244            |
|-- + ------------------------------------------------- + I*|------------------------------------------------- - ----------------------------- - ------------------------------| - ----------------------------- + ------------------------------|*|-- + ------------------------------------------------- + I*|------------------------------------------------- - ----------------------------- + ------------------------------| - ----------------------------- - ------------------------------|*|-- + 3 /   ---- + -----------  + ---------------------------|
\3                            9                             \                        9                                         3                               3               /                 3                               3               / \3                            9                             \                        9                                         3                               3               /                 3                               3               / |3    \/     54         18               ____________________|
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |                                       /            _______ |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |                                      /  7585   I*\/ 63879  |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      |                                 9*3 /   ---- + ----------- |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \                                   \/     54         18     /
$$\left(- \frac{\sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} + \frac{\sqrt{183} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{14}{3} + i \left(- \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9}\right)\right) \left(\frac{244 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} - \frac{\sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} - \frac{\sqrt{183} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{14}{3} + i \left(\frac{244 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}}\right)}}{9} - \frac{\sqrt{61} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3} + \frac{\sqrt{183} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}}{3}\right)\right) \left(\frac{14}{3} + \frac{244}{9 \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}} + \sqrt[3]{\frac{7585}{54} + \frac{\sqrt{63879} i}{18}}\right)$$
=
                                                                                /             /      /    _______\\                /    /    _______\\\
                                                                                |             |      |3*\/ 63879 ||                |    |3*\/ 63879 |||
  /               ______________________ /             ______________________\\ |             |2*atan|-----------||                |atan|-----------|||
  |    3 ___   3 /              _______  |      2/3 3 /              _______ || |             |      \    7585   /|        ____    |    \    7585   /||
2*\488*\/ 2  + \/  7585 + 3*I*\/ 63879  *\28 + 2   *\/  7585 + 3*I*\/ 63879  //*|-12 + 122*cos|-------------------| - 14*\/ 61 *cos|-----------------||
                                                                                \             \         3         /                \        3        //
-------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                    ______________________                                                             
                                                                 3 /              _______                                                              
                                                              27*\/  7585 + 3*I*\/ 63879                                                               
$$\frac{2 \left(488 \sqrt[3]{2} + \left(28 + 2^{\frac{2}{3}} \sqrt[3]{7585 + 3 \sqrt{63879} i}\right) \sqrt[3]{7585 + 3 \sqrt{63879} i}\right) \left(- 14 \sqrt{61} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)} - 12 + 122 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{3 \sqrt{63879}}{7585} \right)}}{3} \right)}\right)}{27 \sqrt[3]{7585 + 3 \sqrt{63879} i}}$$
2*(488*2^(1/3) + (7585 + 3*i*sqrt(63879))^(1/3)*(28 + 2^(2/3)*(7585 + 3*i*sqrt(63879))^(1/3)))*(-12 + 122*cos(2*atan(3*sqrt(63879)/7585)/3) - 14*sqrt(61)*cos(atan(3*sqrt(63879)/7585)/3))/(27*(7585 + 3*i*sqrt(63879))^(1/3))
Respuesta numérica [src]
x1 = -0.237836098452284
x2 = -0.836754317301954
x3 = 15.0745904157542
x3 = 15.0745904157542