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29,9-34,6x+17.3(x-1)^2-17.3(x-1)^3/6+17.3(x-2)^2/2=0 la ecuación

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v

Solución numérica:

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Solución

Ha introducido [src]
                             /           3\   /           2\    
                             |173*(x - 1) |   |173*(x - 2) |    
                         2   |------------|   |------------|    
299   173*x   173*(x - 1)    \     10     /   \     10     /    
--- - ----- + ------------ - -------------- + -------------- = 0
 10     5          10              6                2           
$$\frac{\frac{173}{10} \left(x - 2\right)^{2}}{2} + \left(- \frac{\frac{173}{10} \left(x - 1\right)^{3}}{6} + \left(\left(\frac{299}{10} - \frac{173 x}{5}\right) + \frac{173 \left(x - 1\right)^{2}}{10}\right)\right) = 0$$
Respuesta rápida [src]
                                                                  /    /  ________\\     /                                                         /    /  ________\\            /    /  ________\\\            /    /  ________\\
                                                                  |    |\/ 352907 ||     |                                                         |    |\/ 352907 ||            |    |\/ 352907 |||            |    |\/ 352907 ||
                                                                  |atan|----------||     |                                                         |atan|----------||            |atan|----------|||            |atan|----------||
                                                                  |    \    79    /|     |                                                         |    \    79    /|     ___    |    \    79    /||     ___    |    \    79    /|
                                                             3*sin|----------------|     |                                                    3*cos|----------------|   \/ 3 *sin|----------------||   \/ 3 *cos|----------------|
             /                     1                     \        \       3        /     |    /                     1                     \        \       3        /            \       3        /|            \       3        /
x1 = 4 + 3*re|-------------------------------------------| + ----------------------- + I*|3*im|-------------------------------------------| - ----------------------- - ---------------------------| - ---------------------------
             |                     ______________________|              2                |    |                     ______________________|              2                           2             |                2             
             |/          ___\     /             ________ |                               |    |/          ___\     /             ________ |                                                        |                              
             ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |                               |    ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |                                                        |                              
             ||- - - -------|*3 /   --- + -------------- |                               |    ||- - - -------|*3 /   --- + -------------- |                                                        |                              
             \\  2      2   / \/    346        346       /                               \    \\  2      2   / \/    346        346       /                                                        /                              
$$x_{1} = - \frac{\sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + 3 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)} + \frac{3 \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + 4 + i \left(- \frac{3 \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} - \frac{\sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + 3 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)}\right)$$
                                                                  /    /  ________\\     /                                                         /    /  ________\\            /    /  ________\\\            /    /  ________\\
                                                                  |    |\/ 352907 ||     |                                                         |    |\/ 352907 ||            |    |\/ 352907 |||            |    |\/ 352907 ||
                                                                  |atan|----------||     |                                                         |atan|----------||            |atan|----------|||            |atan|----------||
                                                                  |    \    79    /|     |                                                         |    \    79    /|     ___    |    \    79    /||     ___    |    \    79    /|
                                                             3*sin|----------------|     |                                                    3*cos|----------------|   \/ 3 *sin|----------------||   \/ 3 *cos|----------------|
             /                     1                     \        \       3        /     |    /                     1                     \        \       3        /            \       3        /|            \       3        /
x2 = 4 + 3*re|-------------------------------------------| - ----------------------- + I*|3*im|-------------------------------------------| + ----------------------- - ---------------------------| - ---------------------------
             |                     ______________________|              2                |    |                     ______________________|              2                           2             |                2             
             |/          ___\     /             ________ |                               |    |/          ___\     /             ________ |                                                        |                              
             ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |                               |    ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |                                                        |                              
             ||- - + -------|*3 /   --- + -------------- |                               |    ||- - + -------|*3 /   --- + -------------- |                                                        |                              
             \\  2      2   / \/    346        346       /                               \    \\  2      2   / \/    346        346       /                                                        /                              
$$x_{2} = 3 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)} - \frac{\sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} - \frac{3 \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + 4 + i \left(3 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)} - \frac{\sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + \frac{3 \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2}\right)$$
              ______________________                              
             /             ________                               
            /  237   3*I*\/ 352907                  3             
x3 = 4 + 3 /   --- + --------------  + ---------------------------
         \/    346        346               ______________________
                                           /             ________ 
                                          /  237   3*I*\/ 352907  
                                       3 /   --- + -------------- 
                                       \/    346        346       
$$x_{3} = 4 + \frac{3}{\sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}} + \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}$$
x3 = 4 + 3/(237/346 + 3*sqrt(352907)*i/346)^(1/3) + (237/346 + 3*sqrt(352907)*i/346)^(1/3)
Suma y producto de raíces [src]
suma
                                                             /    /  ________\\     /                                                         /    /  ________\\            /    /  ________\\\            /    /  ________\\                                                                /    /  ________\\     /                                                         /    /  ________\\            /    /  ________\\\            /    /  ________\\                                                                
                                                             |    |\/ 352907 ||     |                                                         |    |\/ 352907 ||            |    |\/ 352907 |||            |    |\/ 352907 ||                                                                |    |\/ 352907 ||     |                                                         |    |\/ 352907 ||            |    |\/ 352907 |||            |    |\/ 352907 ||                                                                
                                                             |atan|----------||     |                                                         |atan|----------||            |atan|----------|||            |atan|----------||                                                                |atan|----------||     |                                                         |atan|----------||            |atan|----------|||            |atan|----------||                                                                
                                                             |    \    79    /|     |                                                         |    \    79    /|     ___    |    \    79    /||     ___    |    \    79    /|                                                                |    \    79    /|     |                                                         |    \    79    /|     ___    |    \    79    /||     ___    |    \    79    /|            ______________________                              
                                                        3*sin|----------------|     |                                                    3*cos|----------------|   \/ 3 *sin|----------------||   \/ 3 *cos|----------------|                                                           3*sin|----------------|     |                                                    3*cos|----------------|   \/ 3 *sin|----------------||   \/ 3 *cos|----------------|           /             ________                               
        /                     1                     \        \       3        /     |    /                     1                     \        \       3        /            \       3        /|            \       3        /           /                     1                     \        \       3        /     |    /                     1                     \        \       3        /            \       3        /|            \       3        /          /  237   3*I*\/ 352907                  3             
4 + 3*re|-------------------------------------------| + ----------------------- + I*|3*im|-------------------------------------------| - ----------------------- - ---------------------------| - --------------------------- + 4 + 3*re|-------------------------------------------| - ----------------------- + I*|3*im|-------------------------------------------| + ----------------------- - ---------------------------| - --------------------------- + 4 + 3 /   --- + --------------  + ---------------------------
        |                     ______________________|              2                |    |                     ______________________|              2                           2             |                2                        |                     ______________________|              2                |    |                     ______________________|              2                           2             |                2                    \/    346        346               ______________________
        |/          ___\     /             ________ |                               |    |/          ___\     /             ________ |                                                        |                                         |/          ___\     /             ________ |                               |    |/          ___\     /             ________ |                                                        |                                                                       /             ________ 
        ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |                               |    ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |                                                        |                                         ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |                               |    ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |                                                        |                                                                      /  237   3*I*\/ 352907  
        ||- - - -------|*3 /   --- + -------------- |                               |    ||- - - -------|*3 /   --- + -------------- |                                                        |                                         ||- - + -------|*3 /   --- + -------------- |                               |    ||- - + -------|*3 /   --- + -------------- |                                                        |                                                                   3 /   --- + -------------- 
        \\  2      2   / \/    346        346       /                               \    \\  2      2   / \/    346        346       /                                                        /                                         \\  2      2   / \/    346        346       /                               \    \\  2      2   / \/    346        346       /                                                        /                                                                   \/    346        346       
$$\left(4 + \frac{3}{\sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}} + \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}\right) + \left(\left(3 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)} - \frac{\sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} - \frac{3 \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + 4 + i \left(3 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)} - \frac{\sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + \frac{3 \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2}\right)\right) + \left(- \frac{\sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + 3 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)} + \frac{3 \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + 4 + i \left(- \frac{3 \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} - \frac{\sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + 3 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)}\right)\right)\right)$$
=
                                                                                                                                                                           /                                                         /    /  ________\\            /    /  ________\\\     /                                                         /    /  ________\\            /    /  ________\\\                              
                                                                                                                                                                           |                                                         |    |\/ 352907 ||            |    |\/ 352907 |||     |                                                         |    |\/ 352907 ||            |    |\/ 352907 |||                              
                                                                                                                                                                           |                                                         |atan|----------||            |atan|----------|||     |                                                         |atan|----------||            |atan|----------|||            /    /  ________\\
          ______________________                                                                                                                                           |                                                         |    \    79    /|     ___    |    \    79    /||     |                                                         |    \    79    /|     ___    |    \    79    /||            |    |\/ 352907 ||
         /             ________                                                                                                                                            |                                                    3*cos|----------------|   \/ 3 *sin|----------------||     |                                                    3*cos|----------------|   \/ 3 *sin|----------------||            |atan|----------||
        /  237   3*I*\/ 352907                  3                    /                     1                     \       /                     1                     \     |    /                     1                     \        \       3        /            \       3        /|     |    /                     1                     \        \       3        /            \       3        /|     ___    |    \    79    /|
12 + 3 /   --- + --------------  + --------------------------- + 3*re|-------------------------------------------| + 3*re|-------------------------------------------| + I*|3*im|-------------------------------------------| + ----------------------- - ---------------------------| + I*|3*im|-------------------------------------------| - ----------------------- - ---------------------------| - \/ 3 *cos|----------------|
     \/    346        346               ______________________       |                     ______________________|       |                     ______________________|     |    |                     ______________________|              2                           2             |     |    |                     ______________________|              2                           2             |            \       3        /
                                       /             ________        |/          ___\     /             ________ |       |/          ___\     /             ________ |     |    |/          ___\     /             ________ |                                                        |     |    |/          ___\     /             ________ |                                                        |                              
                                      /  237   3*I*\/ 352907         ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |       ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |     |    ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |                                                        |     |    ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |                                                        |                              
                                   3 /   --- + --------------        ||- - + -------|*3 /   --- + -------------- |       ||- - - -------|*3 /   --- + -------------- |     |    ||- - + -------|*3 /   --- + -------------- |                                                        |     |    ||- - - -------|*3 /   --- + -------------- |                                                        |                              
                                   \/    346        346              \\  2      2   / \/    346        346       /       \\  2      2   / \/    346        346       /     \    \\  2      2   / \/    346        346       /                                                        /     \    \\  2      2   / \/    346        346       /                                                        /                              
$$- \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)} + 3 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)} + 3 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)} + 12 + \frac{3}{\sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}} + i \left(3 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)} - \frac{\sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + \frac{3 \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2}\right) + i \left(- \frac{3 \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} - \frac{\sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + 3 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)}\right) + \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}$$
producto
/                                                             /    /  ________\\     /                                                         /    /  ________\\            /    /  ________\\\            /    /  ________\\\ /                                                             /    /  ________\\     /                                                         /    /  ________\\            /    /  ________\\\            /    /  ________\\\                                                                
|                                                             |    |\/ 352907 ||     |                                                         |    |\/ 352907 ||            |    |\/ 352907 |||            |    |\/ 352907 ||| |                                                             |    |\/ 352907 ||     |                                                         |    |\/ 352907 ||            |    |\/ 352907 |||            |    |\/ 352907 |||                                                                
|                                                             |atan|----------||     |                                                         |atan|----------||            |atan|----------|||            |atan|----------||| |                                                             |atan|----------||     |                                                         |atan|----------||            |atan|----------|||            |atan|----------|||                                                                
|                                                             |    \    79    /|     |                                                         |    \    79    /|     ___    |    \    79    /||     ___    |    \    79    /|| |                                                             |    \    79    /|     |                                                         |    \    79    /|     ___    |    \    79    /||     ___    |    \    79    /|| /         ______________________                              \
|                                                        3*sin|----------------|     |                                                    3*cos|----------------|   \/ 3 *sin|----------------||   \/ 3 *cos|----------------|| |                                                        3*sin|----------------|     |                                                    3*cos|----------------|   \/ 3 *sin|----------------||   \/ 3 *cos|----------------|| |        /             ________                               |
|        /                     1                     \        \       3        /     |    /                     1                     \        \       3        /            \       3        /|            \       3        /| |        /                     1                     \        \       3        /     |    /                     1                     \        \       3        /            \       3        /|            \       3        /| |       /  237   3*I*\/ 352907                  3             |
|4 + 3*re|-------------------------------------------| + ----------------------- + I*|3*im|-------------------------------------------| - ----------------------- - ---------------------------| - ---------------------------|*|4 + 3*re|-------------------------------------------| - ----------------------- + I*|3*im|-------------------------------------------| + ----------------------- - ---------------------------| - ---------------------------|*|4 + 3 /   --- + --------------  + ---------------------------|
|        |                     ______________________|              2                |    |                     ______________________|              2                           2             |                2             | |        |                     ______________________|              2                |    |                     ______________________|              2                           2             |                2             | |    \/    346        346               ______________________|
|        |/          ___\     /             ________ |                               |    |/          ___\     /             ________ |                                                        |                              | |        |/          ___\     /             ________ |                               |    |/          ___\     /             ________ |                                                        |                              | |                                      /             ________ |
|        ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |                               |    ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |                                                        |                              | |        ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |                               |    ||  1   I*\/ 3 |    /  237   3*I*\/ 352907  |                                                        |                              | |                                     /  237   3*I*\/ 352907  |
|        ||- - - -------|*3 /   --- + -------------- |                               |    ||- - - -------|*3 /   --- + -------------- |                                                        |                              | |        ||- - + -------|*3 /   --- + -------------- |                               |    ||- - + -------|*3 /   --- + -------------- |                                                        |                              | |                                  3 /   --- + -------------- |
\        \\  2      2   / \/    346        346       /                               \    \\  2      2   / \/    346        346       /                                                        /                              / \        \\  2      2   / \/    346        346       /                               \    \\  2      2   / \/    346        346       /                                                        /                              / \                                  \/    346        346       /
$$\left(- \frac{\sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + 3 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)} + \frac{3 \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + 4 + i \left(- \frac{3 \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} - \frac{\sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + 3 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)}\right)\right) \left(3 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)} - \frac{\sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} - \frac{3 \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + 4 + i \left(3 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}}\right)} - \frac{\sqrt{3} \sin{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2} + \frac{3 \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)}}{2}\right)\right) \left(4 + \frac{3}{\sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}} + \sqrt[3]{\frac{237}{346} + \frac{3 \sqrt{352907} i}{346}}\right)$$
=
                                                                                          /           /      /  ________\\               /    /  ________\\\
                                                                                          |           |      |\/ 352907 ||               |    |\/ 352907 |||
     /                  ______________________ /                 ______________________\\ |           |2*atan|----------||               |atan|----------|||
 2/3 |     3 _____   3 /             ________  |          2/3 3 /             ________ || |           |      \    79    /|        ___    |    \    79    /||
3   *\1038*\/ 346  + \/  237 + 3*I*\/ 352907  *\1384 + 346   *\/  237 + 3*I*\/ 352907  //*|52 + 24*cos|------------------| - 32*\/ 3 *cos|----------------||
                                                                                          \           \        3         /               \       3        //
------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                        ___________________                                                                 
                                                                     3 /          ________                                                                  
                                                                4152*\/  79 + I*\/ 352907                                                                   
$$\frac{3^{\frac{2}{3}} \left(1038 \sqrt[3]{346} + \sqrt[3]{237 + 3 \sqrt{352907} i} \left(1384 + 346^{\frac{2}{3}} \sqrt[3]{237 + 3 \sqrt{352907} i}\right)\right) \left(- 32 \sqrt{3} \cos{\left(\frac{\operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)} + 24 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{\sqrt{352907}}{79} \right)}}{3} \right)} + 52\right)}{4152 \sqrt[3]{79 + \sqrt{352907} i}}$$
3^(2/3)*(1038*346^(1/3) + (237 + 3*i*sqrt(352907))^(1/3)*(1384 + 346^(2/3)*(237 + 3*i*sqrt(352907))^(1/3)))*(52 + 24*cos(2*atan(sqrt(352907)/79)/3) - 32*sqrt(3)*cos(atan(sqrt(352907)/79)/3))/(4152*(79 + i*sqrt(352907))^(1/3))
Respuesta numérica [src]
x1 = 3.84738927719348
x2 = 1.07921802943188
x3 = 7.07339269337465
x3 = 7.07339269337465