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(4*x+x^2)/(2+x)^2-0.1-0.4*x=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
       2               
4*x + x    1    2*x    
-------- - -- - --- = 0
       2   10    5     
(2 + x)                
$$- \frac{2 x}{5} + \left(- \frac{1}{10} + \frac{x^{2} + 4 x}{\left(x + 2\right)^{2}}\right) = 0$$
Gráfica
Respuesta rápida [src]
                  /                     1                     \                                  /        /                     1                     \                                                                \                                   
            289*re|-------------------------------------------|         /    /     _______\\     |  289*im|-------------------------------------------|         /    /     _______\\               /    /     _______\\|               /    /     _______\\
                  |                     ______________________|         |    |24*\/ 17790 ||     |        |                     ______________________|         |    |24*\/ 17790 ||               |    |24*\/ 17790 |||               |    |24*\/ 17790 ||
                  |/          ___\     /              _______ |         |atan|------------||     |        |/          ___\     /              _______ |         |atan|------------||               |atan|------------|||               |atan|------------||
                  ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         |    \    3727    /|     |        ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         |    \    3727    /|        ___    |    \    3727    /||        ___    |    \    3727    /|
                  ||- - - -------|*3 /   ---- + ------------- |   17*cos|------------------|     |        ||- - - -------|*3 /   ---- + ------------- |   17*sin|------------------|   17*\/ 3 *cos|------------------||   17*\/ 3 *sin|------------------|
       7          \\  2      2   / \/     64          8       /         \        3         /     |        \\  2      2   / \/     64          8       /         \        3         /               \        3         /|               \        3         /
x1 = - -- - --------------------------------------------------- + -------------------------- + I*|- --------------------------------------------------- + -------------------------- + --------------------------------| - --------------------------------
       12                            48                                       24                 \                           48                                       24                              24               /                  24               
$$x_{1} = - \frac{7}{12} - \frac{17 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} - \frac{289 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48} + \frac{17 \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} + i \left(- \frac{289 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48} + \frac{17 \sin{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} + \frac{17 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24}\right)$$
                  /                     1                     \                                  /        /                     1                     \                                                                \                                   
            289*re|-------------------------------------------|         /    /     _______\\     |  289*im|-------------------------------------------|         /    /     _______\\               /    /     _______\\|               /    /     _______\\
                  |                     ______________________|         |    |24*\/ 17790 ||     |        |                     ______________________|         |    |24*\/ 17790 ||               |    |24*\/ 17790 |||               |    |24*\/ 17790 ||
                  |/          ___\     /              _______ |         |atan|------------||     |        |/          ___\     /              _______ |         |atan|------------||               |atan|------------|||               |atan|------------||
                  ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         |    \    3727    /|     |        ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         |    \    3727    /|        ___    |    \    3727    /||        ___    |    \    3727    /|
                  ||- - + -------|*3 /   ---- + ------------- |   17*cos|------------------|     |        ||- - + -------|*3 /   ---- + ------------- |   17*sin|------------------|   17*\/ 3 *cos|------------------||   17*\/ 3 *sin|------------------|
       7          \\  2      2   / \/     64          8       /         \        3         /     |        \\  2      2   / \/     64          8       /         \        3         /               \        3         /|               \        3         /
x2 = - -- - --------------------------------------------------- + -------------------------- + I*|- --------------------------------------------------- + -------------------------- - --------------------------------| + --------------------------------
       12                            48                                       24                 \                           48                                       24                              24               /                  24               
$$x_{2} = - \frac{7}{12} + \frac{17 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} + \frac{17 \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} - \frac{289 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48} + i \left(- \frac{17 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} + \frac{17 \sin{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} - \frac{289 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48}\right)$$
                                                  ______________________
                                                 /              _______ 
                                                /  3727   3*I*\/ 17790  
                                             3 /   ---- + ------------- 
       7                 289                 \/     64          8       
x3 = - -- - ------------------------------ - ---------------------------
       12           ______________________                3             
                   /              _______                               
                  /  3727   3*I*\/ 17790                                
            48*3 /   ---- + -------------                               
               \/     64          8                                     
$$x_{3} = - \frac{7}{12} - \frac{\sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}{3} - \frac{289}{48 \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}$$
x3 = -7/12 - (3727/64 + 3*sqrt(17790)*i/8)^(1/3)/3 - 289/(48*(3727/64 + 3*sqrt(17790)*i/8)^(1/3))
Suma y producto de raíces [src]
suma
             /                     1                     \                                  /        /                     1                     \                                                                \                                                   /                     1                     \                                  /        /                     1                     \                                                                \                                                                                                         
       289*re|-------------------------------------------|         /    /     _______\\     |  289*im|-------------------------------------------|         /    /     _______\\               /    /     _______\\|               /    /     _______\\          289*re|-------------------------------------------|         /    /     _______\\     |  289*im|-------------------------------------------|         /    /     _______\\               /    /     _______\\|               /    /     _______\\                                                                      
             |                     ______________________|         |    |24*\/ 17790 ||     |        |                     ______________________|         |    |24*\/ 17790 ||               |    |24*\/ 17790 |||               |    |24*\/ 17790 ||                |                     ______________________|         |    |24*\/ 17790 ||     |        |                     ______________________|         |    |24*\/ 17790 ||               |    |24*\/ 17790 |||               |    |24*\/ 17790 ||                                                ______________________
             |/          ___\     /              _______ |         |atan|------------||     |        |/          ___\     /              _______ |         |atan|------------||               |atan|------------|||               |atan|------------||                |/          ___\     /              _______ |         |atan|------------||     |        |/          ___\     /              _______ |         |atan|------------||               |atan|------------|||               |atan|------------||                                               /              _______ 
             ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         |    \    3727    /|     |        ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         |    \    3727    /|        ___    |    \    3727    /||        ___    |    \    3727    /|                ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         |    \    3727    /|     |        ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         |    \    3727    /|        ___    |    \    3727    /||        ___    |    \    3727    /|                                              /  3727   3*I*\/ 17790  
             ||- - - -------|*3 /   ---- + ------------- |   17*cos|------------------|     |        ||- - - -------|*3 /   ---- + ------------- |   17*sin|------------------|   17*\/ 3 *cos|------------------||   17*\/ 3 *sin|------------------|                ||- - + -------|*3 /   ---- + ------------- |   17*cos|------------------|     |        ||- - + -------|*3 /   ---- + ------------- |   17*sin|------------------|   17*\/ 3 *cos|------------------||   17*\/ 3 *sin|------------------|                                           3 /   ---- + ------------- 
  7          \\  2      2   / \/     64          8       /         \        3         /     |        \\  2      2   / \/     64          8       /         \        3         /               \        3         /|               \        3         /     7          \\  2      2   / \/     64          8       /         \        3         /     |        \\  2      2   / \/     64          8       /         \        3         /               \        3         /|               \        3         /     7                 289                 \/     64          8       
- -- - --------------------------------------------------- + -------------------------- + I*|- --------------------------------------------------- + -------------------------- + --------------------------------| - -------------------------------- + - -- - --------------------------------------------------- + -------------------------- + I*|- --------------------------------------------------- + -------------------------- - --------------------------------| + -------------------------------- + - -- - ------------------------------ - ---------------------------
  12                            48                                       24                 \                           48                                       24                              24               /                  24                    12                            48                                       24                 \                           48                                       24                              24               /                  24                    12           ______________________                3             
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                /              _______                               
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               /  3727   3*I*\/ 17790                                
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         48*3 /   ---- + -------------                               
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \/     64          8                                     
$$\left(\left(- \frac{7}{12} - \frac{17 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} - \frac{289 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48} + \frac{17 \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} + i \left(- \frac{289 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48} + \frac{17 \sin{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} + \frac{17 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24}\right)\right) + \left(- \frac{7}{12} + \frac{17 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} + \frac{17 \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} - \frac{289 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48} + i \left(- \frac{17 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} + \frac{17 \sin{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} - \frac{289 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48}\right)\right)\right) + \left(- \frac{7}{12} - \frac{\sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}{3} - \frac{289}{48 \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)$$
=
                                             /                     1                     \         /                     1                     \                                                                /        /                     1                     \                                                                \     /        /                     1                     \                                                                \
                                       289*re|-------------------------------------------|   289*re|-------------------------------------------|                                       /    /     _______\\     |  289*im|-------------------------------------------|         /    /     _______\\               /    /     _______\\|     |  289*im|-------------------------------------------|         /    /     _______\\               /    /     _______\\|
                                             |                     ______________________|         |                     ______________________|        ______________________         |    |24*\/ 17790 ||     |        |                     ______________________|         |    |24*\/ 17790 ||               |    |24*\/ 17790 |||     |        |                     ______________________|         |    |24*\/ 17790 ||               |    |24*\/ 17790 |||
                                             |/          ___\     /              _______ |         |/          ___\     /              _______ |       /              _______          |atan|------------||     |        |/          ___\     /              _______ |         |atan|------------||               |atan|------------|||     |        |/          ___\     /              _______ |         |atan|------------||               |atan|------------|||
                                             ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |      /  3727   3*I*\/ 17790           |    \    3727    /|     |        ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         |    \    3727    /|        ___    |    \    3727    /||     |        ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         |    \    3727    /|        ___    |    \    3727    /||
                                             ||- - + -------|*3 /   ---- + ------------- |         ||- - - -------|*3 /   ---- + ------------- |   3 /   ---- + -------------    17*cos|------------------|     |        ||- - + -------|*3 /   ---- + ------------- |   17*sin|------------------|   17*\/ 3 *cos|------------------||     |        ||- - - -------|*3 /   ---- + ------------- |   17*sin|------------------|   17*\/ 3 *cos|------------------||
  7                289                       \\  2      2   / \/     64          8       /         \\  2      2   / \/     64          8       /   \/     64          8                \        3         /     |        \\  2      2   / \/     64          8       /         \        3         /               \        3         /|     |        \\  2      2   / \/     64          8       /         \        3         /               \        3         /|
- - - ------------------------------ - --------------------------------------------------- - --------------------------------------------------- - --------------------------- + -------------------------- + I*|- --------------------------------------------------- + -------------------------- - --------------------------------| + I*|- --------------------------------------------------- + -------------------------- + --------------------------------|
  4           ______________________                            48                                                    48                                        3                            12                 \                           48                                       24                              24               /     \                           48                                       24                              24               /
             /              _______                                                                                                                                                                                                                                                                                                                                                                                                                                
            /  3727   3*I*\/ 17790                                                                                                                                                                                                                                                                                                                                                                                                                                 
      48*3 /   ---- + -------------                                                                                                                                                                                                                                                                                                                                                                                                                                
         \/     64          8                                                                                                                                                                                                                                                                                                                                                                                                                                      
$$- \frac{7}{4} - \frac{289 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48} - \frac{289 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48} + \frac{17 \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{12} - \frac{\sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}{3} + i \left(- \frac{289 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48} + \frac{17 \sin{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} + \frac{17 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24}\right) + i \left(- \frac{17 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} + \frac{17 \sin{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} - \frac{289 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48}\right) - \frac{289}{48 \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}$$
producto
/             /                     1                     \                                  /        /                     1                     \                                                                \                                   \ /             /                     1                     \                                  /        /                     1                     \                                                                \                                   \                                                                      
|       289*re|-------------------------------------------|         /    /     _______\\     |  289*im|-------------------------------------------|         /    /     _______\\               /    /     _______\\|               /    /     _______\\| |       289*re|-------------------------------------------|         /    /     _______\\     |  289*im|-------------------------------------------|         /    /     _______\\               /    /     _______\\|               /    /     _______\\|                                                                      
|             |                     ______________________|         |    |24*\/ 17790 ||     |        |                     ______________________|         |    |24*\/ 17790 ||               |    |24*\/ 17790 |||               |    |24*\/ 17790 ||| |             |                     ______________________|         |    |24*\/ 17790 ||     |        |                     ______________________|         |    |24*\/ 17790 ||               |    |24*\/ 17790 |||               |    |24*\/ 17790 ||| /                                             ______________________\
|             |/          ___\     /              _______ |         |atan|------------||     |        |/          ___\     /              _______ |         |atan|------------||               |atan|------------|||               |atan|------------||| |             |/          ___\     /              _______ |         |atan|------------||     |        |/          ___\     /              _______ |         |atan|------------||               |atan|------------|||               |atan|------------||| |                                            /              _______ |
|             ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         |    \    3727    /|     |        ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         |    \    3727    /|        ___    |    \    3727    /||        ___    |    \    3727    /|| |             ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         |    \    3727    /|     |        ||  1   I*\/ 3 |    /  3727   3*I*\/ 17790  |         |    \    3727    /|        ___    |    \    3727    /||        ___    |    \    3727    /|| |                                           /  3727   3*I*\/ 17790  |
|             ||- - - -------|*3 /   ---- + ------------- |   17*cos|------------------|     |        ||- - - -------|*3 /   ---- + ------------- |   17*sin|------------------|   17*\/ 3 *cos|------------------||   17*\/ 3 *sin|------------------|| |             ||- - + -------|*3 /   ---- + ------------- |   17*cos|------------------|     |        ||- - + -------|*3 /   ---- + ------------- |   17*sin|------------------|   17*\/ 3 *cos|------------------||   17*\/ 3 *sin|------------------|| |                                        3 /   ---- + ------------- |
|  7          \\  2      2   / \/     64          8       /         \        3         /     |        \\  2      2   / \/     64          8       /         \        3         /               \        3         /|               \        3         /| |  7          \\  2      2   / \/     64          8       /         \        3         /     |        \\  2      2   / \/     64          8       /         \        3         /               \        3         /|               \        3         /| |  7                 289                 \/     64          8       |
|- -- - --------------------------------------------------- + -------------------------- + I*|- --------------------------------------------------- + -------------------------- + --------------------------------| - --------------------------------|*|- -- - --------------------------------------------------- + -------------------------- + I*|- --------------------------------------------------- + -------------------------- - --------------------------------| + --------------------------------|*|- -- - ------------------------------ - ---------------------------|
\  12                            48                                       24                 \                           48                                       24                              24               /                  24               / \  12                            48                                       24                 \                           48                                       24                              24               /                  24               / |  12           ______________________                3             |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  |              /              _______                               |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  |             /  3727   3*I*\/ 17790                                |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  |       48*3 /   ---- + -------------                               |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \          \/     64          8                                     /
$$\left(- \frac{7}{12} - \frac{17 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} - \frac{289 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48} + \frac{17 \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} + i \left(- \frac{289 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48} + \frac{17 \sin{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} + \frac{17 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24}\right)\right) \left(- \frac{7}{12} + \frac{17 \sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} + \frac{17 \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} - \frac{289 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48} + i \left(- \frac{17 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} + \frac{17 \sin{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)}}{24} - \frac{289 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)}}{48}\right)\right) \left(- \frac{7}{12} - \frac{\sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}{3} - \frac{289}{48 \sqrt[3]{\frac{3727}{64} + \frac{3 \sqrt{17790} i}{8}}}\right)$$
=
                                                                    /              /      /     _______\\          /    /     _______\\\
                                                                    |              |      |24*\/ 17790 ||          |    |24*\/ 17790 |||
/         _______________________ /       _______________________\\ |              |2*atan|------------||          |atan|------------|||
|      3 /               _______  |    3 /               _______ || |              |      \    3727    /|          |    \    3727    /||
\289 + \/  3727 + 24*I*\/ 17790  *\7 + \/  3727 + 24*I*\/ 17790  //*|960 - 2312*cos|--------------------| + 952*cos|------------------||
                                                                    \              \         3          /          \        3         //
----------------------------------------------------------------------------------------------------------------------------------------
                                                            _______________________                                                     
                                                         3 /               _______                                                      
                                                    6912*\/  3727 + 24*I*\/ 17790                                                       
$$\frac{\left(289 + \left(7 + \sqrt[3]{3727 + 24 \sqrt{17790} i}\right) \sqrt[3]{3727 + 24 \sqrt{17790} i}\right) \left(- 2312 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)} + 952 \cos{\left(\frac{\operatorname{atan}{\left(\frac{24 \sqrt{17790}}{3727} \right)}}{3} \right)} + 960\right)}{6912 \sqrt[3]{3727 + 24 \sqrt{17790} i}}$$
(289 + (3727 + 24*i*sqrt(17790))^(1/3)*(7 + (3727 + 24*i*sqrt(17790))^(1/3)))*(960 - 2312*cos(2*atan(24*sqrt(17790)/3727)/3) + 952*cos(atan(24*sqrt(17790)/3727)/3))/(6912*(3727 + 24*i*sqrt(17790))^(1/3))
Respuesta numérica [src]
x1 = 0.21886190758149
x2 = 1.3689061299955
x3 = -3.33776803757699
x3 = -3.33776803757699