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La ecuación:
Ecuación x-4/3+x+1/4=3
Ecuación 2x^2+13x=0
Ecuación -1,9ⅹ²=0
Ecuación x+x/2=12
Expresar {x} en función de y en la ecuación:
-13*x-12*y=-11
-13*x+13*y=-20
-10*x-18*y=14
17*x-3*y=3
Expresiones idénticas
x^ tres - sesenta y tres , dos *x+ cien = cero
x al cubo menos 63,2 multiplicar por x más 100 es igual a 0
x en el grado tres menos sesenta y tres , dos multiplicar por x más cien es igual a cero
x3-63,2*x+100=0
x³-63,2*x+100=0
x en el grado 3-63,2*x+100=0
x^3-63,2x+100=0
x3-63,2x+100=0
x^3-63,2*x+100=O
Expresiones semejantes
x^3+63,2*x+100=0
x^3-63,2*x-100=0

x^3-63,2*x+100=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

 3   316*x          
x  - ----- + 100 = 0
       5

\left(x^{3} - \frac{316 x}{5}\right) + 100 = 0

Simplificar

Teorema de Cardano-Vieta

es ecuación cúbica reducida

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

donde

p = \frac{b}{a}

p = 0

q = \frac{c}{a}

q = - \frac{316}{5}

v = \frac{d}{a}

v = 100

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} = 0

x_{1} x_{2} + x_{1} x_{3} + x_{2} x_{3} = - \frac{316}{5}

x_{1} x_{2} x_{3} = 100

Respuesta rápida [src]

             /                      1                       \     /        /                      1                       \                                                                       \                                                                       
       316*re|----------------------------------------------|     |  316*im|----------------------------------------------|              /    /     ________\\               /    /     ________\\|              /    /     ________\\               /    /     ________\\
             |     _________________________                |     |        |     _________________________                |              |    |19*\/ 240135 ||               |    |19*\/ 240135 |||              |    |19*\/ 240135 ||               |    |19*\/ 240135 ||
             |    /                ________  /          ___\|     |        |    /                ________  /          ___\|              |atan|-------------||               |atan|-------------|||              |atan|-------------||               |atan|-------------||
             |   /         114*I*\/ 240135   |  1   I*\/ 3 ||     |        |   /         114*I*\/ 240135   |  1   I*\/ 3 ||     _____    |    \     5625    /|     ______    |    \     5625    /||     _____    |    \     5625    /|     ______    |    \     5625    /|
             |3 /   1350 + ---------------- *|- - - -------||     |        |3 /   1350 + ---------------- *|- - - -------||   \/ 395 *cos|-------------------|   \/ 1185 *sin|-------------------||   \/ 395 *sin|-------------------|   \/ 1185 *cos|-------------------|
             \\/                  25         \  2      2   //     |        \\/                  25         \  2      2   //              \         3         /               \         3         /|              \         3         /               \         3         /
x1 = - ------------------------------------------------------ + I*|- ------------------------------------------------------ + -------------------------------- + ---------------------------------| - -------------------------------- + ---------------------------------
                                 5                                \                            5                                             5                                   15               /                  5                                   15

x_{1} = - \frac{\sqrt{395} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} - \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{\sqrt{1185} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} + i \left(- \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} + \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5}\right)

             /                      1                       \     /        /                      1                       \                                                                       \                                                                       
       316*re|----------------------------------------------|     |  316*im|----------------------------------------------|              /    /     ________\\               /    /     ________\\|              /    /     ________\\               /    /     ________\\
             |     _________________________                |     |        |     _________________________                |              |    |19*\/ 240135 ||               |    |19*\/ 240135 |||              |    |19*\/ 240135 ||               |    |19*\/ 240135 ||
             |    /                ________  /          ___\|     |        |    /                ________  /          ___\|              |atan|-------------||               |atan|-------------|||              |atan|-------------||               |atan|-------------||
             |   /         114*I*\/ 240135   |  1   I*\/ 3 ||     |        |   /         114*I*\/ 240135   |  1   I*\/ 3 ||     _____    |    \     5625    /|     ______    |    \     5625    /||     _____    |    \     5625    /|     ______    |    \     5625    /|
             |3 /   1350 + ---------------- *|- - + -------||     |        |3 /   1350 + ---------------- *|- - + -------||   \/ 395 *cos|-------------------|   \/ 1185 *sin|-------------------||   \/ 395 *sin|-------------------|   \/ 1185 *cos|-------------------|
             \\/                  25         \  2      2   //     |        \\/                  25         \  2      2   //              \         3         /               \         3         /|              \         3         /               \         3         /
x2 = - ------------------------------------------------------ + I*|- ------------------------------------------------------ - -------------------------------- + ---------------------------------| + -------------------------------- + ---------------------------------
                                 5                                \                            5                                             5                                   15               /                  5                                   15

x_{2} = \frac{\sqrt{395} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} + \frac{\sqrt{1185} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + i \left(- \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5}\right)

                                               _________________________
                                              /                ________ 
                                             /         114*I*\/ 240135  
                                          3 /   1350 + ---------------- 
                     316                  \/                  25        
x3 = - -------------------------------- - ------------------------------
              _________________________                 3               
             /                ________                                  
            /         114*I*\/ 240135                                   
       5*3 /   1350 + ----------------                                  
         \/                  25

x_{3} = - \frac{\sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}{3} - \frac{316}{5 \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}

x3 = -(1350 + 114*sqrt(240135)*i/25)^(1/3)/3 - 316/(5*(1350 + 114*sqrt(240135)*i/25)^(1/3))

Suma y producto de raíces [src]

suma

        /                      1                       \     /        /                      1                       \                                                                       \                                                                                  /                      1                       \     /        /                      1                       \                                                                       \                                                                                                                                             
  316*re|----------------------------------------------|     |  316*im|----------------------------------------------|              /    /     ________\\               /    /     ________\\|              /    /     ________\\               /    /     ________\\     316*re|----------------------------------------------|     |  316*im|----------------------------------------------|              /    /     ________\\               /    /     ________\\|              /    /     ________\\               /    /     ________\\                                                                      
        |     _________________________                |     |        |     _________________________                |              |    |19*\/ 240135 ||               |    |19*\/ 240135 |||              |    |19*\/ 240135 ||               |    |19*\/ 240135 ||           |     _________________________                |     |        |     _________________________                |              |    |19*\/ 240135 ||               |    |19*\/ 240135 |||              |    |19*\/ 240135 ||               |    |19*\/ 240135 ||                                             _________________________
        |    /                ________  /          ___\|     |        |    /                ________  /          ___\|              |atan|-------------||               |atan|-------------|||              |atan|-------------||               |atan|-------------||           |    /                ________  /          ___\|     |        |    /                ________  /          ___\|              |atan|-------------||               |atan|-------------|||              |atan|-------------||               |atan|-------------||                                            /                ________ 
        |   /         114*I*\/ 240135   |  1   I*\/ 3 ||     |        |   /         114*I*\/ 240135   |  1   I*\/ 3 ||     _____    |    \     5625    /|     ______    |    \     5625    /||     _____    |    \     5625    /|     ______    |    \     5625    /|           |   /         114*I*\/ 240135   |  1   I*\/ 3 ||     |        |   /         114*I*\/ 240135   |  1   I*\/ 3 ||     _____    |    \     5625    /|     ______    |    \     5625    /||     _____    |    \     5625    /|     ______    |    \     5625    /|                                           /         114*I*\/ 240135  
        |3 /   1350 + ---------------- *|- - - -------||     |        |3 /   1350 + ---------------- *|- - - -------||   \/ 395 *cos|-------------------|   \/ 1185 *sin|-------------------||   \/ 395 *sin|-------------------|   \/ 1185 *cos|-------------------|           |3 /   1350 + ---------------- *|- - + -------||     |        |3 /   1350 + ---------------- *|- - + -------||   \/ 395 *cos|-------------------|   \/ 1185 *sin|-------------------||   \/ 395 *sin|-------------------|   \/ 1185 *cos|-------------------|                                        3 /   1350 + ---------------- 
        \\/                  25         \  2      2   //     |        \\/                  25         \  2      2   //              \         3         /               \         3         /|              \         3         /               \         3         /           \\/                  25         \  2      2   //     |        \\/                  25         \  2      2   //              \         3         /               \         3         /|              \         3         /               \         3         /                   316                  \/                  25        
- ------------------------------------------------------ + I*|- ------------------------------------------------------ + -------------------------------- + ---------------------------------| - -------------------------------- + --------------------------------- + - ------------------------------------------------------ + I*|- ------------------------------------------------------ - -------------------------------- + ---------------------------------| + -------------------------------- + --------------------------------- + - -------------------------------- - ------------------------------
                            5                                \                            5                                             5                                   15               /                  5                                   15                                              5                                \                            5                                             5                                   15               /                  5                                   15                           _________________________                 3               
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        /                ________                                  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       /         114*I*\/ 240135                                   
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  5*3 /   1350 + ----------------                                  
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \/                  25

\left(\left(\frac{\sqrt{395} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} + \frac{\sqrt{1185} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + i \left(- \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5}\right)\right) + \left(- \frac{\sqrt{395} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} - \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{\sqrt{1185} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} + i \left(- \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} + \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5}\right)\right)\right) + \left(- \frac{\sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}{3} - \frac{316}{5 \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)

                                           /                      1                       \         /                      1                       \                                      /        /                      1                       \                                                                       \     /        /                      1                       \                                                                       \                                      
                                     316*re|----------------------------------------------|   316*re|----------------------------------------------|                                      |  316*im|----------------------------------------------|              /    /     ________\\               /    /     ________\\|     |  316*im|----------------------------------------------|              /    /     ________\\               /    /     ________\\|                 /    /     ________\\
                                           |     _________________________                |         |     _________________________                |        _________________________     |        |     _________________________                |              |    |19*\/ 240135 ||               |    |19*\/ 240135 |||     |        |     _________________________                |              |    |19*\/ 240135 ||               |    |19*\/ 240135 |||                 |    |19*\/ 240135 ||
                                           |    /                ________  /          ___\|         |    /                ________  /          ___\|       /                ________      |        |    /                ________  /          ___\|              |atan|-------------||               |atan|-------------|||     |        |    /                ________  /          ___\|              |atan|-------------||               |atan|-------------|||                 |atan|-------------||
                                           |   /         114*I*\/ 240135   |  1   I*\/ 3 ||         |   /         114*I*\/ 240135   |  1   I*\/ 3 ||      /         114*I*\/ 240135       |        |   /         114*I*\/ 240135   |  1   I*\/ 3 ||     _____    |    \     5625    /|     ______    |    \     5625    /||     |        |   /         114*I*\/ 240135   |  1   I*\/ 3 ||     _____    |    \     5625    /|     ______    |    \     5625    /||       ______    |    \     5625    /|
                                           |3 /   1350 + ---------------- *|- - + -------||         |3 /   1350 + ---------------- *|- - - -------||   3 /   1350 + ----------------      |        |3 /   1350 + ---------------- *|- - + -------||   \/ 395 *cos|-------------------|   \/ 1185 *sin|-------------------||     |        |3 /   1350 + ---------------- *|- - - -------||   \/ 395 *cos|-------------------|   \/ 1185 *sin|-------------------||   2*\/ 1185 *cos|-------------------|
                316                        \\/                  25         \  2      2   //         \\/                  25         \  2      2   //   \/                  25             |        \\/                  25         \  2      2   //              \         3         /               \         3         /|     |        \\/                  25         \  2      2   //              \         3         /               \         3         /|                 \         3         /
- -------------------------------- - ------------------------------------------------------ - ------------------------------------------------------ - ------------------------------ + I*|- ------------------------------------------------------ - -------------------------------- + ---------------------------------| + I*|- ------------------------------------------------------ + -------------------------------- + ---------------------------------| + -----------------------------------
         _________________________                             5                                                        5                                            3                    \                            5                                             5                                   15               /     \                            5                                             5                                   15               /                    15                
        /                ________                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
       /         114*I*\/ 240135                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
  5*3 /   1350 + ----------------                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
    \/                  25

- \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} - \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{2 \sqrt{1185} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{\sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}{3} + i \left(- \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} + \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5}\right) + i \left(- \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5}\right) - \frac{316}{5 \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}

producto

/        /                      1                       \     /        /                      1                       \                                                                       \                                                                       \ /        /                      1                       \     /        /                      1                       \                                                                       \                                                                       \                                                                      
|  316*re|----------------------------------------------|     |  316*im|----------------------------------------------|              /    /     ________\\               /    /     ________\\|              /    /     ________\\               /    /     ________\\| |  316*re|----------------------------------------------|     |  316*im|----------------------------------------------|              /    /     ________\\               /    /     ________\\|              /    /     ________\\               /    /     ________\\|                                                                      
|        |     _________________________                |     |        |     _________________________                |              |    |19*\/ 240135 ||               |    |19*\/ 240135 |||              |    |19*\/ 240135 ||               |    |19*\/ 240135 ||| |        |     _________________________                |     |        |     _________________________                |              |    |19*\/ 240135 ||               |    |19*\/ 240135 |||              |    |19*\/ 240135 ||               |    |19*\/ 240135 ||| /                                          _________________________\
|        |    /                ________  /          ___\|     |        |    /                ________  /          ___\|              |atan|-------------||               |atan|-------------|||              |atan|-------------||               |atan|-------------||| |        |    /                ________  /          ___\|     |        |    /                ________  /          ___\|              |atan|-------------||               |atan|-------------|||              |atan|-------------||               |atan|-------------||| |                                         /                ________ |
|        |   /         114*I*\/ 240135   |  1   I*\/ 3 ||     |        |   /         114*I*\/ 240135   |  1   I*\/ 3 ||     _____    |    \     5625    /|     ______    |    \     5625    /||     _____    |    \     5625    /|     ______    |    \     5625    /|| |        |   /         114*I*\/ 240135   |  1   I*\/ 3 ||     |        |   /         114*I*\/ 240135   |  1   I*\/ 3 ||     _____    |    \     5625    /|     ______    |    \     5625    /||     _____    |    \     5625    /|     ______    |    \     5625    /|| |                                        /         114*I*\/ 240135  |
|        |3 /   1350 + ---------------- *|- - - -------||     |        |3 /   1350 + ---------------- *|- - - -------||   \/ 395 *cos|-------------------|   \/ 1185 *sin|-------------------||   \/ 395 *sin|-------------------|   \/ 1185 *cos|-------------------|| |        |3 /   1350 + ---------------- *|- - + -------||     |        |3 /   1350 + ---------------- *|- - + -------||   \/ 395 *cos|-------------------|   \/ 1185 *sin|-------------------||   \/ 395 *sin|-------------------|   \/ 1185 *cos|-------------------|| |                                     3 /   1350 + ---------------- |
|        \\/                  25         \  2      2   //     |        \\/                  25         \  2      2   //              \         3         /               \         3         /|              \         3         /               \         3         /| |        \\/                  25         \  2      2   //     |        \\/                  25         \  2      2   //              \         3         /               \         3         /|              \         3         /               \         3         /| |                316                  \/                  25        |
|- ------------------------------------------------------ + I*|- ------------------------------------------------------ + -------------------------------- + ---------------------------------| - -------------------------------- + ---------------------------------|*|- ------------------------------------------------------ + I*|- ------------------------------------------------------ - -------------------------------- + ---------------------------------| + -------------------------------- + ---------------------------------|*|- -------------------------------- - ------------------------------|
\                            5                                \                            5                                             5                                   15               /                  5                                   15               / \                            5                                \                            5                                             5                                   15               /                  5                                   15               / |         _________________________                 3               |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |        /                ________                                  |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |       /         114*I*\/ 240135                                   |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                |  5*3 /   1350 + ----------------                                  |
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \    \/                  25                                         /

\left(- \frac{\sqrt{395} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} - \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{\sqrt{1185} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} + i \left(- \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} + \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5}\right)\right) \left(\frac{\sqrt{395} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} + \frac{\sqrt{1185} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{316 \operatorname{re}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5} + i \left(- \frac{\sqrt{395} \cos{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{5} + \frac{\sqrt{1185} \sin{\left(\frac{\operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{15} - \frac{316 \operatorname{im}{\left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)}}{5}\right)\right) \left(- \frac{\sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}{3} - \frac{316}{5 \sqrt[3]{1350 + \frac{114 \sqrt{240135} i}{25}}}\right)

               /       /      /     ________\\\                                            
               |       |      |19*\/ 240135 |||                                            
               |       |2*atan|-------------|||                                            
               |       |      \     5625    /||                                            
               |    cos|---------------------|| /                          2/3            \
    3 ___  2/3 |1      \          3          /| |/                ________\          3 ___|
632*\/ 5 *6   *|- - --------------------------|*\\33750 + 114*I*\/ 240135 /    + 948*\/ 5 /
               \4               2             /                                            
-------------------------------------------------------------------------------------------
                                     ________________________                              
                                  3 /               ________                               
                              675*\/  5625 + 19*I*\/ 240135

\frac{632 \sqrt[3]{5} \cdot 6^{\frac{2}{3}} \left(\frac{1}{4} - \frac{\cos{\left(\frac{2 \operatorname{atan}{\left(\frac{19 \sqrt{240135}}{5625} \right)}}{3} \right)}}{2}\right) \left(948 \sqrt[3]{5} + \left(33750 + 114 \sqrt{240135} i\right)^{\frac{2}{3}}\right)}{675 \sqrt[3]{5625 + 19 \sqrt{240135} i}}

632*5^(1/3)*6^(2/3)*(1/4 - cos(2*atan(19*sqrt(240135)/5625)/3)/2)*((33750 + 114*i*sqrt(240135))^(2/3) + 948*5^(1/3))/(675*(5625 + 19*i*sqrt(240135))^(1/3))

Respuesta numérica [src]

x1 = -8.646683085784

x2 = 1.65385587885244

x3 = 6.99282720693155

x3 = 6.99282720693155

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Expresiones idénticas

Expresiones semejantes

x^3-63,2*x+100=0 la ecuación

Solución numérica:

Solución