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La ecuación:
Ecuación -x/11+x=50/11
Ecuación 12/x=3
Ecuación 6-5(4x-1)=3
Ecuación 13/(x-5)=5/(x-13)
Expresar {x} en función de y en la ecuación:
-1*x+4*y=-10
-11*x-19*y=14
8*x+6*y=20
-11*x-1*y=15
Expresiones idénticas
(x^ dos + dos x)-(x+ dos)(dos x^2-x)= seis (2x- uno)^2
(x al cuadrado más 2x) menos (x más 2)(2x al cuadrado menos x) es igual a 6(2x menos 1) al cuadrado
(x en el grado dos más dos x) menos (x más dos)(dos x al cuadrado menos x) es igual a seis (2x menos uno) al cuadrado
(x2+2x)-(x+2)(2x2-x)=6(2x-1)2
x2+2x-x+22x2-x=62x-12
(x²+2x)-(x+2)(2x²-x)=6(2x-1)²
(x en el grado 2+2x)-(x+2)(2x en el grado 2-x)=6(2x-1) en el grado 2
x^2+2x-x+22x^2-x=62x-1^2
Expresiones semejantes
(x^2+2x)+(x+2)(2x^2-x)=6(2x-1)^2
(x^2-2x)-(x+2)(2x^2-x)=6(2x-1)^2
(x^2+2x)-(x+2)(2x^2+x)=6(2x-1)^2
(x^2+2x)-(x-2)(2x^2-x)=6(2x-1)^2
(x^2+2x)-(x+2)(2x^2-x)=6(2x+1)^2

(x^2+2x)-(x+2)(2x^2-x)=6(2x-1)^2 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

 2                 /   2    \              2
x  + 2*x - (x + 2)*\2*x  - x/ = 6*(2*x - 1)

- \left(x + 2\right) \left(2 x^{2} - x\right) + \left(x^{2} + 2 x\right) = 6 \left(2 x - 1\right)^{2}

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                  /                    1                     \     /        /                    1                     \                                                                \                                                                
            211*re|------------------------------------------|     |  211*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\
                  |                     _____________________|     |        |                     _____________________|              |    |9*\/ 2555 ||              |    |9*\/ 2555 |||              |    |9*\/ 2555 ||              |    |9*\/ 2555 ||
                  |/          ___\     /              ______ |     |        |/          ___\     /              ______ |              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||
                  ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |     |        ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |     _____    |    \   6113   /|     _____    |    \   6113   /||     _____    |    \   6113   /|     _____    |    \   6113   /|
                  ||- - - -------|*3 /   ---- + ------------ |     |        ||- - - -------|*3 /   ---- + ------------ |   \/ 211 *sin|----------------|   \/ 633 *cos|----------------||   \/ 633 *sin|----------------|   \/ 211 *cos|----------------|
       13         \\  2      2   / \/     2          2       /     |        \\  2      2   / \/     2          2       /              \       3        /              \       3        /|              \       3        /              \       3        /
x1 = - -- - -------------------------------------------------- + I*|- -------------------------------------------------- + ----------------------------- + -----------------------------| - ----------------------------- + -----------------------------
       3                            3                              \                          3                                          6                               6              /                 6                               6

x_{1} = - \frac{13}{3} - \frac{\sqrt{633} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} - \frac{211 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3} + \frac{\sqrt{211} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} + i \left(- \frac{211 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3} + \frac{\sqrt{211} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} + \frac{\sqrt{633} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6}\right)

                  /                    1                     \     /        /                    1                     \                                                                \                                                                
            211*re|------------------------------------------|     |  211*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\
                  |                     _____________________|     |        |                     _____________________|              |    |9*\/ 2555 ||              |    |9*\/ 2555 |||              |    |9*\/ 2555 ||              |    |9*\/ 2555 ||
                  |/          ___\     /              ______ |     |        |/          ___\     /              ______ |              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||
                  ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |     |        ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |     _____    |    \   6113   /|     _____    |    \   6113   /||     _____    |    \   6113   /|     _____    |    \   6113   /|
                  ||- - + -------|*3 /   ---- + ------------ |     |        ||- - + -------|*3 /   ---- + ------------ |   \/ 633 *cos|----------------|   \/ 211 *sin|----------------||   \/ 211 *cos|----------------|   \/ 633 *sin|----------------|
       13         \\  2      2   / \/     2          2       /     |        \\  2      2   / \/     2          2       /              \       3        /              \       3        /|              \       3        /              \       3        /
x2 = - -- - -------------------------------------------------- + I*|- -------------------------------------------------- - ----------------------------- + -----------------------------| + ----------------------------- + -----------------------------
       3                            3                              \                          3                                          6                               6              /                 6                               6

x_{2} = - \frac{13}{3} + \frac{\sqrt{633} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} + \frac{\sqrt{211} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} - \frac{211 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3} + i \left(- \frac{\sqrt{633} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} + \frac{\sqrt{211} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} - \frac{211 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3}\right)

                                                _____________________
                                               /              ______ 
                                              /  6113   9*I*\/ 2555  
                                           3 /   ---- + ------------ 
       13               211                \/     2          2       
x3 = - -- - ---------------------------- - --------------------------
       3           _____________________               3             
                  /              ______                              
                 /  6113   9*I*\/ 2555                               
            3*3 /   ---- + ------------                              
              \/     2          2

x_{3} = - \frac{13}{3} - \frac{\sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}{3} - \frac{211}{3 \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}

x3 = -13/3 - (6113/2 + 9*sqrt(2555)*i/2)^(1/3)/3 - 211/(3*(6113/2 + 9*sqrt(2555)*i/2)^(1/3))

Suma y producto de raíces [src]

suma

             /                    1                     \     /        /                    1                     \                                                                \                                                                                /                    1                     \     /        /                    1                     \                                                                \                                                                                                                                   
       211*re|------------------------------------------|     |  211*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\          211*re|------------------------------------------|     |  211*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\                                                                   
             |                     _____________________|     |        |                     _____________________|              |    |9*\/ 2555 ||              |    |9*\/ 2555 |||              |    |9*\/ 2555 ||              |    |9*\/ 2555 ||                |                     _____________________|     |        |                     _____________________|              |    |9*\/ 2555 ||              |    |9*\/ 2555 |||              |    |9*\/ 2555 ||              |    |9*\/ 2555 ||                                              _____________________
             |/          ___\     /              ______ |     |        |/          ___\     /              ______ |              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||                |/          ___\     /              ______ |     |        |/          ___\     /              ______ |              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||                                             /              ______ 
             ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |     |        ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |     _____    |    \   6113   /|     _____    |    \   6113   /||     _____    |    \   6113   /|     _____    |    \   6113   /|                ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |     |        ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |     _____    |    \   6113   /|     _____    |    \   6113   /||     _____    |    \   6113   /|     _____    |    \   6113   /|                                            /  6113   9*I*\/ 2555  
             ||- - - -------|*3 /   ---- + ------------ |     |        ||- - - -------|*3 /   ---- + ------------ |   \/ 211 *sin|----------------|   \/ 633 *cos|----------------||   \/ 633 *sin|----------------|   \/ 211 *cos|----------------|                ||- - + -------|*3 /   ---- + ------------ |     |        ||- - + -------|*3 /   ---- + ------------ |   \/ 633 *cos|----------------|   \/ 211 *sin|----------------||   \/ 211 *cos|----------------|   \/ 633 *sin|----------------|                                         3 /   ---- + ------------ 
  13         \\  2      2   / \/     2          2       /     |        \\  2      2   / \/     2          2       /              \       3        /              \       3        /|              \       3        /              \       3        /     13         \\  2      2   / \/     2          2       /     |        \\  2      2   / \/     2          2       /              \       3        /              \       3        /|              \       3        /              \       3        /     13               211                \/     2          2       
- -- - -------------------------------------------------- + I*|- -------------------------------------------------- + ----------------------------- + -----------------------------| - ----------------------------- + ----------------------------- + - -- - -------------------------------------------------- + I*|- -------------------------------------------------- - ----------------------------- + -----------------------------| + ----------------------------- + ----------------------------- + - -- - ---------------------------- - --------------------------
  3                            3                              \                          3                                          6                               6              /                 6                               6                   3                            3                              \                          3                                          6                               6              /                 6                               6                   3           _____________________               3             
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           /              ______                              
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          /  6113   9*I*\/ 2555                               
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     3*3 /   ---- + ------------                              
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       \/     2          2

\left(\left(- \frac{13}{3} - \frac{\sqrt{633} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} - \frac{211 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3} + \frac{\sqrt{211} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} + i \left(- \frac{211 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3} + \frac{\sqrt{211} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} + \frac{\sqrt{633} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6}\right)\right) + \left(- \frac{13}{3} + \frac{\sqrt{633} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} + \frac{\sqrt{211} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} - \frac{211 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3} + i \left(- \frac{\sqrt{633} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} + \frac{\sqrt{211} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} - \frac{211 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3}\right)\right)\right) + \left(- \frac{13}{3} - \frac{\sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}{3} - \frac{211}{3 \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)

                                           /                    1                     \         /                    1                     \                                  /        /                    1                     \                                                                \     /        /                    1                     \                                                                \                                
                                     211*re|------------------------------------------|   211*re|------------------------------------------|                                  |  211*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|     |  211*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\
                                           |                     _____________________|         |                     _____________________|        _____________________     |        |                     _____________________|              |    |9*\/ 2555 ||              |    |9*\/ 2555 |||     |        |                     _____________________|              |    |9*\/ 2555 ||              |    |9*\/ 2555 |||              |    |9*\/ 2555 ||
                                           |/          ___\     /              ______ |         |/          ___\     /              ______ |       /              ______      |        |/          ___\     /              ______ |              |atan|----------||              |atan|----------|||     |        |/          ___\     /              ______ |              |atan|----------||              |atan|----------|||              |atan|----------||
                                           ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |         ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |      /  6113   9*I*\/ 2555       |        ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |     _____    |    \   6113   /|     _____    |    \   6113   /||     |        ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |     _____    |    \   6113   /|     _____    |    \   6113   /||     _____    |    \   6113   /|
                                           ||- - + -------|*3 /   ---- + ------------ |         ||- - - -------|*3 /   ---- + ------------ |   3 /   ---- + ------------      |        ||- - + -------|*3 /   ---- + ------------ |   \/ 633 *cos|----------------|   \/ 211 *sin|----------------||     |        ||- - - -------|*3 /   ---- + ------------ |   \/ 211 *sin|----------------|   \/ 633 *cos|----------------||   \/ 211 *cos|----------------|
                  211                      \\  2      2   / \/     2          2       /         \\  2      2   / \/     2          2       /   \/     2          2            |        \\  2      2   / \/     2          2       /              \       3        /              \       3        /|     |        \\  2      2   / \/     2          2       /              \       3        /              \       3        /|              \       3        /
-13 - ---------------------------- - -------------------------------------------------- - -------------------------------------------------- - -------------------------- + I*|- -------------------------------------------------- - ----------------------------- + -----------------------------| + I*|- -------------------------------------------------- + ----------------------------- + -----------------------------| + -----------------------------
             _____________________                           3                                                    3                                        3                  \                          3                                          6                               6              /     \                          3                                          6                               6              /                 3              
            /              ______                                                                                                                                                                                                                                                                                                                                                                                                                              
           /  6113   9*I*\/ 2555                                                                                                                                                                                                                                                                                                                                                                                                                               
      3*3 /   ---- + ------------                                                                                                                                                                                                                                                                                                                                                                                                                              
        \/     2          2

-13 - \frac{211 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3} - \frac{211 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3} + \frac{\sqrt{211} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{3} - \frac{\sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}{3} + i \left(- \frac{\sqrt{633} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} + \frac{\sqrt{211} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} - \frac{211 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3}\right) + i \left(- \frac{211 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3} + \frac{\sqrt{211} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} + \frac{\sqrt{633} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6}\right) - \frac{211}{3 \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}

producto

/             /                    1                     \     /        /                    1                     \                                                                \                                                                \ /             /                    1                     \     /        /                    1                     \                                                                \                                                                \                                                                   
|       211*re|------------------------------------------|     |  211*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\| |       211*re|------------------------------------------|     |  211*im|------------------------------------------|              /    /    ______\\              /    /    ______\\|              /    /    ______\\              /    /    ______\\|                                                                   
|             |                     _____________________|     |        |                     _____________________|              |    |9*\/ 2555 ||              |    |9*\/ 2555 |||              |    |9*\/ 2555 ||              |    |9*\/ 2555 ||| |             |                     _____________________|     |        |                     _____________________|              |    |9*\/ 2555 ||              |    |9*\/ 2555 |||              |    |9*\/ 2555 ||              |    |9*\/ 2555 ||| /                                           _____________________\
|             |/          ___\     /              ______ |     |        |/          ___\     /              ______ |              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||| |             |/          ___\     /              ______ |     |        |/          ___\     /              ______ |              |atan|----------||              |atan|----------|||              |atan|----------||              |atan|----------||| |                                          /              ______ |
|             ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |     |        ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |     _____    |    \   6113   /|     _____    |    \   6113   /||     _____    |    \   6113   /|     _____    |    \   6113   /|| |             ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |     |        ||  1   I*\/ 3 |    /  6113   9*I*\/ 2555  |     _____    |    \   6113   /|     _____    |    \   6113   /||     _____    |    \   6113   /|     _____    |    \   6113   /|| |                                         /  6113   9*I*\/ 2555  |
|             ||- - - -------|*3 /   ---- + ------------ |     |        ||- - - -------|*3 /   ---- + ------------ |   \/ 211 *sin|----------------|   \/ 633 *cos|----------------||   \/ 633 *sin|----------------|   \/ 211 *cos|----------------|| |             ||- - + -------|*3 /   ---- + ------------ |     |        ||- - + -------|*3 /   ---- + ------------ |   \/ 633 *cos|----------------|   \/ 211 *sin|----------------||   \/ 211 *cos|----------------|   \/ 633 *sin|----------------|| |                                      3 /   ---- + ------------ |
|  13         \\  2      2   / \/     2          2       /     |        \\  2      2   / \/     2          2       /              \       3        /              \       3        /|              \       3        /              \       3        /| |  13         \\  2      2   / \/     2          2       /     |        \\  2      2   / \/     2          2       /              \       3        /              \       3        /|              \       3        /              \       3        /| |  13               211                \/     2          2       |
|- -- - -------------------------------------------------- + I*|- -------------------------------------------------- + ----------------------------- + -----------------------------| - ----------------------------- + -----------------------------|*|- -- - -------------------------------------------------- + I*|- -------------------------------------------------- - ----------------------------- + -----------------------------| + ----------------------------- + -----------------------------|*|- -- - ---------------------------- - --------------------------|
\  3                            3                              \                          3                                          6                               6              /                 6                               6              / \  3                            3                              \                          3                                          6                               6              /                 6                               6              / |  3           _____________________               3             |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |             /              ______                              |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |            /  6113   9*I*\/ 2555                               |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              |       3*3 /   ---- + ------------                              |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \         \/     2          2                                    /

\left(- \frac{13}{3} - \frac{\sqrt{633} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} - \frac{211 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3} + \frac{\sqrt{211} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} + i \left(- \frac{211 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3} + \frac{\sqrt{211} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} + \frac{\sqrt{633} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6}\right)\right) \left(- \frac{13}{3} + \frac{\sqrt{633} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} + \frac{\sqrt{211} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} - \frac{211 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3} + i \left(- \frac{\sqrt{633} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} + \frac{\sqrt{211} \sin{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}}{6} - \frac{211 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)}}{3}\right)\right) \left(- \frac{13}{3} - \frac{\sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}{3} - \frac{211}{3 \sqrt[3]{\frac{6113}{2} + \frac{9 \sqrt{2555} i}{2}}}\right)

                                                                            /            /      /    ______\\                 /    /    ______\\\
                                                                            |            |      |9*\/ 2555 ||                 |    |9*\/ 2555 |||
/               _____________________ /             _____________________\\ |            |2*atan|----------||                 |atan|----------|||
|    3 ___   3 /              ______  |      2/3 3 /              ______ || |            |      \   6113   /|        _____    |    \   6113   /||
\422*\/ 2  + \/  6113 + 9*I*\/ 2555  *\26 + 2   *\/  6113 + 9*I*\/ 2555  //*|42 - 422*cos|------------------| + 26*\/ 211 *cos|----------------||
                                                                            \            \        3         /                 \       3        //
-------------------------------------------------------------------------------------------------------------------------------------------------
                                                                 _____________________                                                           
                                                              3 /              ______                                                            
                                                           54*\/  6113 + 9*I*\/ 2555

\frac{\left(422 \sqrt[3]{2} + \left(26 + 2^{\frac{2}{3}} \sqrt[3]{6113 + 9 \sqrt{2555} i}\right) \sqrt[3]{6113 + 9 \sqrt{2555} i}\right) \left(- 422 \cos{\left(\frac{2 \operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)} + 42 + 26 \sqrt{211} \cos{\left(\frac{\operatorname{atan}{\left(\frac{9 \sqrt{2555}}{6113} \right)}}{3} \right)}\right)}{54 \sqrt[3]{6113 + 9 \sqrt{2555} i}}

(422*2^(1/3) + (6113 + 9*i*sqrt(2555))^(1/3)*(26 + 2^(2/3)*(6113 + 9*i*sqrt(2555))^(1/3)))*(42 - 422*cos(2*atan(9*sqrt(2555)/6113)/3) + 26*sqrt(211)*cos(atan(9*sqrt(2555)/6113)/3))/(54*(6113 + 9*i*sqrt(2555))^(1/3))

Respuesta numérica [src]

x1 = 0.299494696287282

x2 = 0.714762932201176

x3 = -14.0142576284885

x3 = -14.0142576284885

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