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La ecuación:
Ecuación 3^x=27
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
Ecuación x(x^2+2x+1)=6(x+1)
Ecuación 4x+1=-3x+15
Expresar {x} en función de y en la ecuación:
-6*x-20*y=8
7*x-1*y=0
2*x-8*y=4
2*x-15*y=-1
Expresiones idénticas
- dos *x^ tres - cuatro *x^ dos + treinta y siete *x- veintiséis = cero
menos 2 multiplicar por x al cubo menos 4 multiplicar por x al cuadrado más 37 multiplicar por x menos 26 es igual a 0
menos dos multiplicar por x en el grado tres menos cuatro multiplicar por x en el grado dos más treinta y siete multiplicar por x menos veintiséis es igual a cero
-2*x3-4*x2+37*x-26=0
-2*x³-4*x²+37*x-26=0
-2*x en el grado 3-4*x en el grado 2+37*x-26=0
-2x^3-4x^2+37x-26=0
-2x3-4x2+37x-26=0
-2*x^3-4*x^2+37*x-26=O
Expresiones semejantes
-2*x^3+4*x^2+37*x-26=0
-2*x^3-4*x^2-37*x-26=0
2*x^3-4*x^2+37*x-26=0
-2*x^3-4*x^2+37*x+26=0

-2x^3-4x^2+37*x-26=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

     3      2                
- 2*x  - 4*x  + 37*x - 26 = 0

\left(37 x + \left(- 2 x^{3} - 4 x^{2}\right)\right) - 26 = 0

Simplificar

Teorema de Cardano-Vieta

reescribamos la ecuación

\left(37 x + \left(- 2 x^{3} - 4 x^{2}\right)\right) - 26 = 0

a x^{3} + b x^{2} + c x + d = 0

como ecuación cúbica reducida

x^{3} + \frac{b x^{2}}{a} + \frac{c x}{a} + \frac{d}{a} = 0

x^{3} + 2 x^{2} - \frac{37 x}{2} + 13 = 0

p x^{2} + q x + v + x^{3} = 0

donde

p = \frac{b}{a}

p = 2

q = \frac{c}{a}

q = - \frac{37}{2}

v = \frac{d}{a}

v = 13

Fórmulas de Cardano-Vieta

x_{1} + x_{2} + x_{3} = - p

x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = q

x_{1} x_{2} x_{3} = v

x_{1} + x_{2} + x_{3} = -2

x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = - \frac{37}{2}

x_{1} x_{2} x_{3} = 13

Respuesta rápida [src]

                 /                    1                     \     /        /                    1                     \                                                                \                                                                
           119*re|------------------------------------------|     |  119*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\
                 |     _____________________                |     |        |     _____________________                |              |    |3*\/ 3198 ||              |    |3*\/ 3198 |||              |    |3*\/ 3198 ||              |    |3*\/ 3198 ||
                 |    /              ______  /          ___\|     |        |    /              ______  /          ___\|              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||
                 |   /        21*I*\/ 3198   |  1   I*\/ 3 ||     |        |   /        21*I*\/ 3198   |  1   I*\/ 3 ||     _____    |    \   200    /|     _____    |    \   200    /||     _____    |    \   200    /|     _____    |    \   200    /|
                 |3 /   350 + ------------- *|- - - -------||     |        |3 /   350 + ------------- *|- - - -------||   \/ 238 *sin|----------------|   \/ 714 *cos|----------------||   \/ 714 *sin|----------------|   \/ 238 *cos|----------------|
       2         \\/                4        \  2      2   //     |        \\/                4        \  2      2   //              \       3        /              \       3        /|              \       3        /              \       3        /
x1 = - - - -------------------------------------------------- + I*|- -------------------------------------------------- + ----------------------------- + -----------------------------| - ----------------------------- + -----------------------------
       3                           6                              \                          6                                          12                              12             /                 12                              12

x_{1} = - \frac{2}{3} - \frac{\sqrt{714} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} - \frac{119 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6} + \frac{\sqrt{238} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} + i \left(- \frac{119 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6} + \frac{\sqrt{238} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} + \frac{\sqrt{714} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12}\right)

                 /                    1                     \     /        /                    1                     \                                                                \                                                                
           119*re|------------------------------------------|     |  119*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\
                 |     _____________________                |     |        |     _____________________                |              |    |3*\/ 3198 ||              |    |3*\/ 3198 |||              |    |3*\/ 3198 ||              |    |3*\/ 3198 ||
                 |    /              ______  /          ___\|     |        |    /              ______  /          ___\|              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||
                 |   /        21*I*\/ 3198   |  1   I*\/ 3 ||     |        |   /        21*I*\/ 3198   |  1   I*\/ 3 ||     _____    |    \   200    /|     _____    |    \   200    /||     _____    |    \   200    /|     _____    |    \   200    /|
                 |3 /   350 + ------------- *|- - + -------||     |        |3 /   350 + ------------- *|- - + -------||   \/ 714 *cos|----------------|   \/ 238 *sin|----------------||   \/ 238 *cos|----------------|   \/ 714 *sin|----------------|
       2         \\/                4        \  2      2   //     |        \\/                4        \  2      2   //              \       3        /              \       3        /|              \       3        /              \       3        /
x2 = - - - -------------------------------------------------- + I*|- -------------------------------------------------- - ----------------------------- + -----------------------------| + ----------------------------- + -----------------------------
       3                           6                              \                          6                                          12                              12             /                 12                              12

x_{2} = - \frac{2}{3} + \frac{\sqrt{714} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} + \frac{\sqrt{238} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} - \frac{119 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6} + i \left(- \frac{\sqrt{714} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} + \frac{\sqrt{238} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} - \frac{119 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6}\right)

                                               _____________________
                                              /              ______ 
                                             /        21*I*\/ 3198  
                                          3 /   350 + ------------- 
       2               119                \/                4       
x3 = - - - ---------------------------- - --------------------------
       3          _____________________               3             
                 /              ______                              
                /        21*I*\/ 3198                               
           6*3 /   350 + -------------                              
             \/                4

x_{3} = - \frac{2}{3} - \frac{\sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}{3} - \frac{119}{6 \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}

x3 = -2/3 - (350 + 21*sqrt(3198)*i/4)^(1/3)/3 - 119/(6*(350 + 21*sqrt(3198)*i/4)^(1/3))

Suma y producto de raíces [src]

suma

            /                    1                     \     /        /                    1                     \                                                                \                                                                               /                    1                     \     /        /                    1                     \                                                                \                                                                                                                                  
      119*re|------------------------------------------|     |  119*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\         119*re|------------------------------------------|     |  119*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\                                                                  
            |     _____________________                |     |        |     _____________________                |              |    |3*\/ 3198 ||              |    |3*\/ 3198 |||              |    |3*\/ 3198 ||              |    |3*\/ 3198 ||               |     _____________________                |     |        |     _____________________                |              |    |3*\/ 3198 ||              |    |3*\/ 3198 |||              |    |3*\/ 3198 ||              |    |3*\/ 3198 ||                                             _____________________
            |    /              ______  /          ___\|     |        |    /              ______  /          ___\|              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||               |    /              ______  /          ___\|     |        |    /              ______  /          ___\|              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||                                            /              ______ 
            |   /        21*I*\/ 3198   |  1   I*\/ 3 ||     |        |   /        21*I*\/ 3198   |  1   I*\/ 3 ||     _____    |    \   200    /|     _____    |    \   200    /||     _____    |    \   200    /|     _____    |    \   200    /|               |   /        21*I*\/ 3198   |  1   I*\/ 3 ||     |        |   /        21*I*\/ 3198   |  1   I*\/ 3 ||     _____    |    \   200    /|     _____    |    \   200    /||     _____    |    \   200    /|     _____    |    \   200    /|                                           /        21*I*\/ 3198  
            |3 /   350 + ------------- *|- - - -------||     |        |3 /   350 + ------------- *|- - - -------||   \/ 238 *sin|----------------|   \/ 714 *cos|----------------||   \/ 714 *sin|----------------|   \/ 238 *cos|----------------|               |3 /   350 + ------------- *|- - + -------||     |        |3 /   350 + ------------- *|- - + -------||   \/ 714 *cos|----------------|   \/ 238 *sin|----------------||   \/ 238 *cos|----------------|   \/ 714 *sin|----------------|                                        3 /   350 + ------------- 
  2         \\/                4        \  2      2   //     |        \\/                4        \  2      2   //              \       3        /              \       3        /|              \       3        /              \       3        /     2         \\/                4        \  2      2   //     |        \\/                4        \  2      2   //              \       3        /              \       3        /|              \       3        /              \       3        /     2               119                \/                4       
- - - -------------------------------------------------- + I*|- -------------------------------------------------- + ----------------------------- + -----------------------------| - ----------------------------- + ----------------------------- + - - - -------------------------------------------------- + I*|- -------------------------------------------------- - ----------------------------- + -----------------------------| + ----------------------------- + ----------------------------- + - - - ---------------------------- - --------------------------
  3                           6                              \                          6                                          12                              12             /                 12                              12                  3                           6                              \                          6                                          12                              12             /                 12                              12                  3          _____________________               3             
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        /              ______                              
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       /        21*I*\/ 3198                               
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  6*3 /   350 + -------------                              
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \/                4

\left(\left(- \frac{2}{3} - \frac{\sqrt{714} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} - \frac{119 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6} + \frac{\sqrt{238} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} + i \left(- \frac{119 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6} + \frac{\sqrt{238} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} + \frac{\sqrt{714} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12}\right)\right) + \left(- \frac{2}{3} + \frac{\sqrt{714} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} + \frac{\sqrt{238} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} - \frac{119 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6} + i \left(- \frac{\sqrt{714} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} + \frac{\sqrt{238} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} - \frac{119 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6}\right)\right)\right) + \left(- \frac{2}{3} - \frac{\sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}{3} - \frac{119}{6 \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)

                                          /                    1                     \         /                    1                     \                                  /        /                    1                     \                                                                \     /        /                    1                     \                                                                \                                
                                    119*re|------------------------------------------|   119*re|------------------------------------------|                                  |  119*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|     |  119*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\
                                          |     _____________________                |         |     _____________________                |        _____________________     |        |     _____________________                |              |    |3*\/ 3198 ||              |    |3*\/ 3198 |||     |        |     _____________________                |              |    |3*\/ 3198 ||              |    |3*\/ 3198 |||              |    |3*\/ 3198 ||
                                          |    /              ______  /          ___\|         |    /              ______  /          ___\|       /              ______      |        |    /              ______  /          ___\|              |atan|----------||              |atan|----------|||     |        |    /              ______  /          ___\|              |atan|----------||              |atan|----------|||              |atan|----------||
                                          |   /        21*I*\/ 3198   |  1   I*\/ 3 ||         |   /        21*I*\/ 3198   |  1   I*\/ 3 ||      /        21*I*\/ 3198       |        |   /        21*I*\/ 3198   |  1   I*\/ 3 ||     _____    |    \   200    /|     _____    |    \   200    /||     |        |   /        21*I*\/ 3198   |  1   I*\/ 3 ||     _____    |    \   200    /|     _____    |    \   200    /||     _____    |    \   200    /|
                                          |3 /   350 + ------------- *|- - + -------||         |3 /   350 + ------------- *|- - - -------||   3 /   350 + -------------      |        |3 /   350 + ------------- *|- - + -------||   \/ 714 *cos|----------------|   \/ 238 *sin|----------------||     |        |3 /   350 + ------------- *|- - - -------||   \/ 238 *sin|----------------|   \/ 714 *cos|----------------||   \/ 238 *cos|----------------|
                 119                      \\/                4        \  2      2   //         \\/                4        \  2      2   //   \/                4            |        \\/                4        \  2      2   //              \       3        /              \       3        /|     |        \\/                4        \  2      2   //              \       3        /              \       3        /|              \       3        /
-2 - ---------------------------- - -------------------------------------------------- - -------------------------------------------------- - -------------------------- + I*|- -------------------------------------------------- - ----------------------------- + -----------------------------| + I*|- -------------------------------------------------- + ----------------------------- + -----------------------------| + -----------------------------
            _____________________                           6                                                    6                                        3                  \                          6                                          12                              12             /     \                          6                                          12                              12             /                 6              
           /              ______                                                                                                                                                                                                                                                                                                                                                                                                                              
          /        21*I*\/ 3198                                                                                                                                                                                                                                                                                                                                                                                                                               
     6*3 /   350 + -------------                                                                                                                                                                                                                                                                                                                                                                                                                              
       \/                4

-2 - \frac{119 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6} - \frac{119 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6} + \frac{\sqrt{238} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{6} - \frac{\sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}{3} + i \left(- \frac{\sqrt{714} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} + \frac{\sqrt{238} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} - \frac{119 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6}\right) + i \left(- \frac{119 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6} + \frac{\sqrt{238} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} + \frac{\sqrt{714} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12}\right) - \frac{119}{6 \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}

producto

/            /                    1                     \     /        /                    1                     \                                                                \                                                                \ /            /                    1                     \     /        /                    1                     \                                                                \                                                                \                                                                  
|      119*re|------------------------------------------|     |  119*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\| |      119*re|------------------------------------------|     |  119*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\|                                                                  
|            |     _____________________                |     |        |     _____________________                |              |    |3*\/ 3198 ||              |    |3*\/ 3198 |||              |    |3*\/ 3198 ||              |    |3*\/ 3198 ||| |            |     _____________________                |     |        |     _____________________                |              |    |3*\/ 3198 ||              |    |3*\/ 3198 |||              |    |3*\/ 3198 ||              |    |3*\/ 3198 ||| /                                          _____________________\
|            |    /              ______  /          ___\|     |        |    /              ______  /          ___\|              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||| |            |    /              ______  /          ___\|     |        |    /              ______  /          ___\|              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||| |                                         /              ______ |
|            |   /        21*I*\/ 3198   |  1   I*\/ 3 ||     |        |   /        21*I*\/ 3198   |  1   I*\/ 3 ||     _____    |    \   200    /|     _____    |    \   200    /||     _____    |    \   200    /|     _____    |    \   200    /|| |            |   /        21*I*\/ 3198   |  1   I*\/ 3 ||     |        |   /        21*I*\/ 3198   |  1   I*\/ 3 ||     _____    |    \   200    /|     _____    |    \   200    /||     _____    |    \   200    /|     _____    |    \   200    /|| |                                        /        21*I*\/ 3198  |
|            |3 /   350 + ------------- *|- - - -------||     |        |3 /   350 + ------------- *|- - - -------||   \/ 238 *sin|----------------|   \/ 714 *cos|----------------||   \/ 714 *sin|----------------|   \/ 238 *cos|----------------|| |            |3 /   350 + ------------- *|- - + -------||     |        |3 /   350 + ------------- *|- - + -------||   \/ 714 *cos|----------------|   \/ 238 *sin|----------------||   \/ 238 *cos|----------------|   \/ 714 *sin|----------------|| |                                     3 /   350 + ------------- |
|  2         \\/                4        \  2      2   //     |        \\/                4        \  2      2   //              \       3        /              \       3        /|              \       3        /              \       3        /| |  2         \\/                4        \  2      2   //     |        \\/                4        \  2      2   //              \       3        /              \       3        /|              \       3        /              \       3        /| |  2               119                \/                4       |
|- - - -------------------------------------------------- + I*|- -------------------------------------------------- + ----------------------------- + -----------------------------| - ----------------------------- + -----------------------------|*|- - - -------------------------------------------------- + I*|- -------------------------------------------------- - ----------------------------- + -----------------------------| + ----------------------------- + -----------------------------|*|- - - ---------------------------- - --------------------------|
\  3                           6                              \                          6                                          12                              12             /                 12                              12             / \  3                           6                              \                          6                                          12                              12             /                 12                              12             / |  3          _____________________               3             |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            |            /              ______                              |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            |           /        21*I*\/ 3198                               |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            |      6*3 /   350 + -------------                              |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \        \/                4                                    /

\left(- \frac{2}{3} - \frac{\sqrt{714} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} - \frac{119 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6} + \frac{\sqrt{238} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} + i \left(- \frac{119 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6} + \frac{\sqrt{238} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} + \frac{\sqrt{714} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12}\right)\right) \left(- \frac{2}{3} + \frac{\sqrt{714} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} + \frac{\sqrt{238} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} - \frac{119 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6} + i \left(- \frac{\sqrt{714} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} + \frac{\sqrt{238} \sin{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)}}{12} - \frac{119 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)}}{6}\right)\right) \left(- \frac{2}{3} - \frac{\sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}{3} - \frac{119}{6 \sqrt[3]{350 + \frac{21 \sqrt{3198} i}{4}}}\right)

                                                                            /             /      /    ______\\                /    /    ______\\\
                                                                            |             |      |3*\/ 3198 ||                |    |3*\/ 3198 |||
     /              ______________________ /       ______________________\\ |             |2*atan|----------||                |atan|----------|||
 2/3 |     2/3   3 /               ______  |    3 /               ______ || |             |      \   200    /|       _____    |    \   200    /||
7   *\119*2    + \/  1400 + 21*I*\/ 3198  *\4 + \/  2800 + 42*I*\/ 3198  //*|222 - 476*cos|------------------| + 8*\/ 238 *cos|----------------||
                                                                            \             \        3         /                \       3        //
-------------------------------------------------------------------------------------------------------------------------------------------------
                                                                   ____________________                                                          
                                                                3 /             ______                                                           
                                                           1512*\/  200 + 3*I*\/ 3198

\frac{7^{\frac{2}{3}} \left(119 \cdot 2^{\frac{2}{3}} + \left(4 + \sqrt[3]{2800 + 42 \sqrt{3198} i}\right) \sqrt[3]{1400 + 21 \sqrt{3198} i}\right) \left(- 476 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)} + 8 \sqrt{238} \cos{\left(\frac{\operatorname{atan}{\left(\frac{3 \sqrt{3198}}{200} \right)}}{3} \right)} + 222\right)}{1512 \sqrt[3]{200 + 3 \sqrt{3198} i}}

7^(2/3)*(119*2^(2/3) + (1400 + 21*i*sqrt(3198))^(1/3)*(4 + (2800 + 42*i*sqrt(3198))^(1/3)))*(222 - 476*cos(2*atan(3*sqrt(3198)/200)/3) + 8*sqrt(238)*cos(atan(3*sqrt(3198)/200)/3))/(1512*(200 + 3*i*sqrt(3198))^(1/3))

Respuesta numérica [src]

x1 = 2.86894210670733

x2 = 0.79940221017475

x3 = -5.66834431688208

x3 = -5.66834431688208

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