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La ecuación:
Ecuación x^3-x^2-x-1=0
Ecuación 3x-2(3x+4)=10
Ecuación 12-4(x-3)=39-9x
Ecuación 0,2x+2,7=1,4-1,1x
Expresar {x} en función de y en la ecuación:
-11*x-3*y=14
2*x-15*y=-1
-18*x-6*y=-1
6*x+9*y=-9
Expresiones idénticas
(x*x*x*x)- dos *x- cuatro = cero
(x multiplicar por x multiplicar por x multiplicar por x) menos 2 multiplicar por x menos 4 es igual a 0
(x multiplicar por x multiplicar por x multiplicar por x) menos dos multiplicar por x menos cuatro es igual a cero
(xxxx)-2x-4=0
xxxx-2x-4=0
(x*x*x*x)-2*x-4=O
Expresiones semejantes
(x*x*x*x)+2*x-4=0
(x*x*x*x)-2*x+4=0

(xxxx)-2x-4=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

x*x*x*x - 2*x - 4 = 0

$$\left(x x x x - 2 x\right) - 4 = 0$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

                                                                           _____________________________________________________________________________________________________________                                                                              _____________________________________________________________________________________________________________                                                                                  ___________________________________________________________________________________________________________                                                                                  ___________________________________________________________________________________________________________
                                                                          /          ______________                                                                                                                                                                  /          ______________                                                                                                                                                                      /        ______________                                                                                                                                                                      /        ______________                                                                                     
                                                                         /          /       ______                                                                                                                                                                  /          /       ______                                                                                                                                                                      /        /       ______                                                                                                                                                                      /        /       ______                                                                                      
                                                                        /          /  1   \/ 3153                                 4                                         8                                                                                      /          /  1   \/ 3153                                 4                                         8                                                                                          /        /  1   \/ 3153                                 4                                         8                                                                                          /        /  1   \/ 3153                                 4                                         8           
                                                                       /    - 2*3 /   - + --------  + --------------------------------------------------------- + ---------------------                                                                           /    - 2*3 /   - + --------  + --------------------------------------------------------- + ---------------------                                                                  I*           /    2*3 /   - + --------  + --------------------------------------------------------- - ---------------------                                                                  I*           /    2*3 /   - + --------  + --------------------------------------------------------- - --------------------- 
          _______________________________________________             /         \/    4      36                 _______________________________________________          ______________              _______________________________________________             /         \/    4      36                 _______________________________________________          ______________                _______________________________________________               /       \/    4      36                 _______________________________________________          ______________                _______________________________________________               /       \/    4      36                 _______________________________________________          ______________ 
         /        ______________                                     /                                         /        ______________                                  /       ______              /        ______________                                     /                                         /        ______________                                  /       ______                /        ______________                                       /                                       /        ______________                                  /       ______                /        ______________                                       /                                       /        ______________                                  /       ______  
        /        /       ______                                     /                                         /        /       ______                                  /  1   \/ 3153              /        /       ______                                     /                                         /        /       ______                                  /  1   \/ 3153                /        /       ______                                       /                                       /        /       ______                                  /  1   \/ 3153                /        /       ______                                       /                                       /        /       ______                                  /  1   \/ 3153   
       /        /  1   \/ 3153               8                     /                                         /        /  1   \/ 3153               8              3*3 /   - + --------            /        /  1   \/ 3153               8                     /                                         /        /  1   \/ 3153               8              3*3 /   - + --------              /        /  1   \/ 3153               8                       /                                       /        /  1   \/ 3153               8              3*3 /   - + --------              /        /  1   \/ 3153               8                       /                                       /        /  1   \/ 3153               8              3*3 /   - + --------  
      /    2*3 /   - + --------  - ---------------------          /                                         /    2*3 /   - + --------  - ---------------------      \/    4      36              /    2*3 /   - + --------  - ---------------------          /                                         /    2*3 /   - + --------  - ---------------------      \/    4      36                /    2*3 /   - + --------  - ---------------------            /                                       /    2*3 /   - + --------  - ---------------------      \/    4      36                /    2*3 /   - + --------  - ---------------------            /                                       /    2*3 /   - + --------  - ---------------------      \/    4      36     
     /       \/    4      36              ______________         /                                         /       \/    4      36              ______________                                  /       \/    4      36              ______________         /                                         /       \/    4      36              ______________                                    /       \/    4      36              ______________           /                                       /       \/    4      36              ______________                                    /       \/    4      36              ______________           /                                       /       \/    4      36              ______________                          
    /                                    /       ______         /                                         /                                    /       ______                                  /                                    /       ______         /                                         /                                    /       ______                                    /                                    /       ______           /                                       /                                    /       ______                                    /                                    /       ______           /                                       /                                    /       ______                           
   /                                    /  1   \/ 3153         /                                         /                                    /  1   \/ 3153                                  /                                    /  1   \/ 3153         /                                         /                                    /  1   \/ 3153                                    /                                    /  1   \/ 3153           /                                       /                                    /  1   \/ 3153                                    /                                    /  1   \/ 3153           /                                       /                                    /  1   \/ 3153                            
  /                                3*3 /   - + --------       /                                         /                                3*3 /   - + --------                                /                                3*3 /   - + --------       /                                         /                                3*3 /   - + --------                                  /                                3*3 /   - + --------         /                                       /                                3*3 /   - + --------                                  /                                3*3 /   - + --------         /                                       /                                3*3 /   - + --------                           
\/                                   \/    4      36        \/                                        \/                                   \/    4      36                                 \/                                   \/    4      36        \/                                        \/                                   \/    4      36                                   \/                                   \/    4      36          \/                                      \/                                   \/    4      36                                   \/                                   \/    4      36          \/                                      \/                                   \/    4      36                              
--------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------- + - --------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------- + - --------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------
                            2                                                                                            2                                                                                             2                                                                                            2                                                                                               2                                                                                            2                                                                                               2                                                                                            2

$$\left(\left(\left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}} + \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + \frac{4}{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}}}{2} + \frac{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}{2}\right) + \left(\frac{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}} + \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + \frac{4}{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}}}{2}\right)\right) + \left(- \frac{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}{2} - \frac{i \sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}} + \frac{4}{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}}}{2}\right)\right) + \left(- \frac{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}{2} + \frac{i \sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}} + \frac{4}{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}}}{2}\right)$$

$$0$$

producto

/                                                                           _____________________________________________________________________________________________________________\ /                                                                           _____________________________________________________________________________________________________________\ /                                                                               ___________________________________________________________________________________________________________\ /                                                                               ___________________________________________________________________________________________________________\
|                                                                          /          ______________                                                                                     | |                                                                          /          ______________                                                                                     | |                                                                              /        ______________                                                                                     | |                                                                              /        ______________                                                                                     |
|                                                                         /          /       ______                                                                                      | |                                                                         /          /       ______                                                                                      | |                                                                             /        /       ______                                                                                      | |                                                                             /        /       ______                                                                                      |
|                                                                        /          /  1   \/ 3153                                 4                                         8           | |                                                                        /          /  1   \/ 3153                                 4                                         8           | |                                                                            /        /  1   \/ 3153                                 4                                         8           | |                                                                            /        /  1   \/ 3153                                 4                                         8           |
|                                                                       /    - 2*3 /   - + --------  + --------------------------------------------------------- + --------------------- | |                                                                       /    - 2*3 /   - + --------  + --------------------------------------------------------- + --------------------- | |                                                              I*           /    2*3 /   - + --------  + --------------------------------------------------------- - --------------------- | |                                                              I*           /    2*3 /   - + --------  + --------------------------------------------------------- - --------------------- |
|          _______________________________________________             /         \/    4      36                 _______________________________________________          ______________ | |          _______________________________________________             /         \/    4      36                 _______________________________________________          ______________ | |            _______________________________________________               /       \/    4      36                 _______________________________________________          ______________ | |            _______________________________________________               /       \/    4      36                 _______________________________________________          ______________ |
|         /        ______________                                     /                                         /        ______________                                  /       ______  | |         /        ______________                                     /                                         /        ______________                                  /       ______  | |           /        ______________                                       /                                       /        ______________                                  /       ______  | |           /        ______________                                       /                                       /        ______________                                  /       ______  |
|        /        /       ______                                     /                                         /        /       ______                                  /  1   \/ 3153   | |        /        /       ______                                     /                                         /        /       ______                                  /  1   \/ 3153   | |          /        /       ______                                       /                                       /        /       ______                                  /  1   \/ 3153   | |          /        /       ______                                       /                                       /        /       ______                                  /  1   \/ 3153   |
|       /        /  1   \/ 3153               8                     /                                         /        /  1   \/ 3153               8              3*3 /   - + --------  | |       /        /  1   \/ 3153               8                     /                                         /        /  1   \/ 3153               8              3*3 /   - + --------  | |         /        /  1   \/ 3153               8                       /                                       /        /  1   \/ 3153               8              3*3 /   - + --------  | |         /        /  1   \/ 3153               8                       /                                       /        /  1   \/ 3153               8              3*3 /   - + --------  |
|      /    2*3 /   - + --------  - ---------------------          /                                         /    2*3 /   - + --------  - ---------------------      \/    4      36     | |      /    2*3 /   - + --------  - ---------------------          /                                         /    2*3 /   - + --------  - ---------------------      \/    4      36     | |        /    2*3 /   - + --------  - ---------------------            /                                       /    2*3 /   - + --------  - ---------------------      \/    4      36     | |        /    2*3 /   - + --------  - ---------------------            /                                       /    2*3 /   - + --------  - ---------------------      \/    4      36     |
|     /       \/    4      36              ______________         /                                         /       \/    4      36              ______________                          | |     /       \/    4      36              ______________         /                                         /       \/    4      36              ______________                          | |       /       \/    4      36              ______________           /                                       /       \/    4      36              ______________                          | |       /       \/    4      36              ______________           /                                       /       \/    4      36              ______________                          |
|    /                                    /       ______         /                                         /                                    /       ______                           | |    /                                    /       ______         /                                         /                                    /       ______                           | |      /                                    /       ______           /                                       /                                    /       ______                           | |      /                                    /       ______           /                                       /                                    /       ______                           |
|   /                                    /  1   \/ 3153         /                                         /                                    /  1   \/ 3153                            | |   /                                    /  1   \/ 3153         /                                         /                                    /  1   \/ 3153                            | |     /                                    /  1   \/ 3153           /                                       /                                    /  1   \/ 3153                            | |     /                                    /  1   \/ 3153           /                                       /                                    /  1   \/ 3153                            |
|  /                                3*3 /   - + --------       /                                         /                                3*3 /   - + --------                           | |  /                                3*3 /   - + --------       /                                         /                                3*3 /   - + --------                           | |    /                                3*3 /   - + --------         /                                       /                                3*3 /   - + --------                           | |    /                                3*3 /   - + --------         /                                       /                                3*3 /   - + --------                           |
|\/                                   \/    4      36        \/                                        \/                                   \/    4      36                              | |\/                                   \/    4      36        \/                                        \/                                   \/    4      36                              | |  \/                                   \/    4      36          \/                                      \/                                   \/    4      36                              | |  \/                                   \/    4      36          \/                                      \/                                   \/    4      36                              |
|--------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------|*|--------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------|*|- --------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------|*|- --------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------|
\                            2                                                                                            2                                                              / \                            2                                                                                            2                                                              / \                              2                                                                                            2                                                              / \                              2                                                                                            2                                                              /

$$\left(\frac{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}} + \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + \frac{4}{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}} + \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + \frac{4}{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}}}{2} + \frac{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}{2}\right) \left(- \frac{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}{2} - \frac{i \sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}} + \frac{4}{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}}}{2}\right) \left(- \frac{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}{2} + \frac{i \sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}} + \frac{4}{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}}}{2}\right)$$

-4

$$-4$$

-4

Respuesta rápida [src]

                                                                                _____________________________________________________________________________________________________________
                                                                               /          ______________                                                                                     
                                                                              /          /       ______                                                                                      
                                                                             /          /  1   \/ 3153                                 4                                         8           
                                                                            /    - 2*3 /   - + --------  + --------------------------------------------------------- + --------------------- 
               _______________________________________________             /         \/    4      36                 _______________________________________________          ______________ 
              /        ______________                                     /                                         /        ______________                                  /       ______  
             /        /       ______                                     /                                         /        /       ______                                  /  1   \/ 3153   
            /        /  1   \/ 3153               8                     /                                         /        /  1   \/ 3153               8              3*3 /   - + --------  
           /    2*3 /   - + --------  - ---------------------          /                                         /    2*3 /   - + --------  - ---------------------      \/    4      36     
          /       \/    4      36              ______________         /                                         /       \/    4      36              ______________                          
         /                                    /       ______         /                                         /                                    /       ______                           
        /                                    /  1   \/ 3153         /                                         /                                    /  1   \/ 3153                            
       /                                3*3 /   - + --------       /                                         /                                3*3 /   - + --------                           
     \/                                   \/    4      36        \/                                        \/                                   \/    4      36                              
x1 = --------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------
                                 2                                                                                            2

$$x_{1} = \frac{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}} + \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + \frac{4}{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}}}{2}$$

                                                                                _____________________________________________________________________________________________________________
                                                                               /          ______________                                                                                     
                                                                              /          /       ______                                                                                      
                                                                             /          /  1   \/ 3153                                 4                                         8           
                                                                            /    - 2*3 /   - + --------  + --------------------------------------------------------- + --------------------- 
               _______________________________________________             /         \/    4      36                 _______________________________________________          ______________ 
              /        ______________                                     /                                         /        ______________                                  /       ______  
             /        /       ______                                     /                                         /        /       ______                                  /  1   \/ 3153   
            /        /  1   \/ 3153               8                     /                                         /        /  1   \/ 3153               8              3*3 /   - + --------  
           /    2*3 /   - + --------  - ---------------------          /                                         /    2*3 /   - + --------  - ---------------------      \/    4      36     
          /       \/    4      36              ______________         /                                         /       \/    4      36              ______________                          
         /                                    /       ______         /                                         /                                    /       ______                           
        /                                    /  1   \/ 3153         /                                         /                                    /  1   \/ 3153                            
       /                                3*3 /   - + --------       /                                         /                                3*3 /   - + --------                           
     \/                                   \/    4      36        \/                                        \/                                   \/    4      36                              
x2 = --------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------
                                 2                                                                                            2

$$x_{2} = - \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}} + \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + \frac{4}{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}}}{2} + \frac{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}{2}$$

                                                                                    ___________________________________________________________________________________________________________
                                                                                   /        ______________                                                                                     
                                                                                  /        /       ______                                                                                      
                                                                                 /        /  1   \/ 3153                                 4                                         8           
                                                                   I*           /    2*3 /   - + --------  + --------------------------------------------------------- - --------------------- 
                 _______________________________________________               /       \/    4      36                 _______________________________________________          ______________ 
                /        ______________                                       /                                       /        ______________                                  /       ______  
               /        /       ______                                       /                                       /        /       ______                                  /  1   \/ 3153   
              /        /  1   \/ 3153               8                       /                                       /        /  1   \/ 3153               8              3*3 /   - + --------  
             /    2*3 /   - + --------  - ---------------------            /                                       /    2*3 /   - + --------  - ---------------------      \/    4      36     
            /       \/    4      36              ______________           /                                       /       \/    4      36              ______________                          
           /                                    /       ______           /                                       /                                    /       ______                           
          /                                    /  1   \/ 3153           /                                       /                                    /  1   \/ 3153                            
         /                                3*3 /   - + --------         /                                       /                                3*3 /   - + --------                           
       \/                                   \/    4      36          \/                                      \/                                   \/    4      36                              
x3 = - --------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------
                                   2                                                                                            2

$$x_{3} = - \frac{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}{2} - \frac{i \sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}} + \frac{4}{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}}}{2}$$

                                                                                    ___________________________________________________________________________________________________________
                                                                                   /        ______________                                                                                     
                                                                                  /        /       ______                                                                                      
                                                                                 /        /  1   \/ 3153                                 4                                         8           
                                                                   I*           /    2*3 /   - + --------  + --------------------------------------------------------- - --------------------- 
                 _______________________________________________               /       \/    4      36                 _______________________________________________          ______________ 
                /        ______________                                       /                                       /        ______________                                  /       ______  
               /        /       ______                                       /                                       /        /       ______                                  /  1   \/ 3153   
              /        /  1   \/ 3153               8                       /                                       /        /  1   \/ 3153               8              3*3 /   - + --------  
             /    2*3 /   - + --------  - ---------------------            /                                       /    2*3 /   - + --------  - ---------------------      \/    4      36     
            /       \/    4      36              ______________           /                                       /       \/    4      36              ______________                          
           /                                    /       ______           /                                       /                                    /       ______                           
          /                                    /  1   \/ 3153           /                                       /                                    /  1   \/ 3153                            
         /                                3*3 /   - + --------         /                                       /                                3*3 /   - + --------                           
       \/                                   \/    4      36          \/                                      \/                                   \/    4      36                              
x4 = - --------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------
                                   2                                                                                            2

$$x_{4} = - \frac{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}{2} + \frac{i \sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}} + \frac{4}{\sqrt{- \frac{8}{3 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{3153}}{36}}}}}}{2}$$

x4 = -sqrt(-8/(3*(1/4 + sqrt(3153)/36)^(1/3)) + 2*(1/4 + sqrt(3153)/36)^(1/3))/2 + i*sqrt(-8/(3*(1/4 + sqrt(3153)/36)^(1/3)) + 2*(1/4 + sqrt(3153)/36)^(1/3) + 4/sqrt(-8/(3*(1/4 + sqrt(3153)/36)^(1/3)) + 2*(1/4 + sqrt(3153)/36)^(1/3)))/2

Respuesta numérica [src]

x1 = -0.249516886161264 + 1.437404282176*i

x2 = 1.64293488427191

x3 = -1.14390111194938

x4 = -0.249516886161264 - 1.437404282176*i

x4 = -0.249516886161264 - 1.437404282176*i

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(x*x*x*x)-2*x-4=0 la ecuación

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(xxxx)-2x-4=0 la ecuación