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La ecuación:
Ecuación 1-x/2=x/3
Ecuación x^2+5x=36
Ecuación 3*x=8
Ecuación -2*x-4=3*x
Expresar {x} en función de y en la ecuación:
4*x-1*y=-3
-11*x+9*y=-20
9*x+17*y=13
-19*x+14*y=20
Expresiones idénticas
(x- cuatro)^ cuatro - dos (x- cuatro)- quince = cero
(x menos 4) en el grado 4 menos 2(x menos 4) menos 15 es igual a 0
(x menos cuatro) en el grado cuatro menos dos (x menos cuatro) menos quince es igual a cero
(x-4)4-2(x-4)-15=0
x-44-2x-4-15=0
(x-4)⁴-2(x-4)-15=0
x-4^4-2x-4-15=0
(x-4)^4-2(x-4)-15=O
Expresiones semejantes
(x-4)^4-2(x+4)-15=0
(x+4)^4-2(x-4)-15=0
(x-4)^4-2(x-4)+15=0
(x-4)^4+2(x-4)-15=0

(x-4)^4-2(x-4)-15=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

       4                     
(x - 4)  - 2*(x - 4) - 15 = 0

$$\left(\left(x - 4\right)^{4} - 2 \left(x - 4\right)\right) - 15 = 0$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                                                                                    ___________________________________________________________________________________________________________
                                                                                   /          ______________                                                                                   
                                                                                  /          /       ______                                                                                    
                                                                                 /          /  1   \/ 2001                                 4                                        10         
                                                                                /    - 2*3 /   - + --------  + --------------------------------------------------------- + ------------------- 
                   _______________________________________________             /         \/    4      4                  _______________________________________________        ______________ 
                  /                                ______________             /                                         /                                ______________        /       ______  
                 /                                /       ______             /                                         /                                /       ______        /  1   \/ 2001   
                /              10                /  1   \/ 2001             /                                         /              10                /  1   \/ 2001      3 /   - + --------  
               /    - ------------------- + 2*3 /   - + --------           /                                         /    - ------------------- + 2*3 /   - + --------     \/    4      4      
              /            ______________     \/    4      4              /                                         /            ______________     \/    4      4                             
             /            /       ______                                 /                                         /            /       ______                                                 
            /            /  1   \/ 2001                                 /                                         /            /  1   \/ 2001                                                  
           /          3 /   - + --------                               /                                         /          3 /   - + --------                                                 
         \/           \/    4      4                                 \/                                        \/           \/    4      4                                                     
x1 = 4 + --------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------
                                     2                                                                                           2

$$x_{1} = \frac{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}} + \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + \frac{4}{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}}}{2} + 4$$

                                                                                    ___________________________________________________________________________________________________________
                                                                                   /          ______________                                                                                   
                                                                                  /          /       ______                                                                                    
                                                                                 /          /  1   \/ 2001                                 4                                        10         
                                                                                /    - 2*3 /   - + --------  + --------------------------------------------------------- + ------------------- 
                   _______________________________________________             /         \/    4      4                  _______________________________________________        ______________ 
                  /                                ______________             /                                         /                                ______________        /       ______  
                 /                                /       ______             /                                         /                                /       ______        /  1   \/ 2001   
                /              10                /  1   \/ 2001             /                                         /              10                /  1   \/ 2001      3 /   - + --------  
               /    - ------------------- + 2*3 /   - + --------           /                                         /    - ------------------- + 2*3 /   - + --------     \/    4      4      
              /            ______________     \/    4      4              /                                         /            ______________     \/    4      4                             
             /            /       ______                                 /                                         /            /       ______                                                 
            /            /  1   \/ 2001                                 /                                         /            /  1   \/ 2001                                                  
           /          3 /   - + --------                               /                                         /          3 /   - + --------                                                 
         \/           \/    4      4                                 \/                                        \/           \/    4      4                                                     
x2 = 4 + --------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------
                                     2                                                                                           2

$$x_{2} = - \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}} + \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + \frac{4}{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}}}{2} + \frac{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}{2} + 4$$

                                                                                      ___________________________________________________________________________________________________________
                                                                                     /                                ______________                                                             
                                                                                    /                                /       ______                                                              
                                                                                   /              10                /  1   \/ 2001                                 4                             
                                                                     I*           /    - ------------------- + 2*3 /   - + --------  + --------------------------------------------------------- 
                   _______________________________________________               /            ______________     \/    4      4                  _______________________________________________ 
                  /                                ______________               /            /       ______                                     /                                ______________  
                 /                                /       ______               /            /  1   \/ 2001                                     /                                /       ______   
                /              10                /  1   \/ 2001               /          3 /   - + --------                                   /              10                /  1   \/ 2001    
               /    - ------------------- + 2*3 /   - + --------             /           \/    4      4                                      /    - ------------------- + 2*3 /   - + --------   
              /            ______________     \/    4      4                /                                                               /            ______________     \/    4      4       
             /            /       ______                                   /                                                               /            /       ______                           
            /            /  1   \/ 2001                                   /                                                               /            /  1   \/ 2001                            
           /          3 /   - + --------                                 /                                                               /          3 /   - + --------                           
         \/           \/    4      4                                   \/                                                              \/           \/    4      4                               
x3 = 4 - --------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------
                                     2                                                                                            2

$$x_{3} = - \frac{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}{2} + 4 - \frac{i \sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}} + \frac{4}{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}}}{2}$$

                                                                                      ___________________________________________________________________________________________________________
                                                                                     /                                ______________                                                             
                                                                                    /                                /       ______                                                              
                                                                                   /              10                /  1   \/ 2001                                 4                             
                                                                     I*           /    - ------------------- + 2*3 /   - + --------  + --------------------------------------------------------- 
                   _______________________________________________               /            ______________     \/    4      4                  _______________________________________________ 
                  /                                ______________               /            /       ______                                     /                                ______________  
                 /                                /       ______               /            /  1   \/ 2001                                     /                                /       ______   
                /              10                /  1   \/ 2001               /          3 /   - + --------                                   /              10                /  1   \/ 2001    
               /    - ------------------- + 2*3 /   - + --------             /           \/    4      4                                      /    - ------------------- + 2*3 /   - + --------   
              /            ______________     \/    4      4                /                                                               /            ______________     \/    4      4       
             /            /       ______                                   /                                                               /            /       ______                           
            /            /  1   \/ 2001                                   /                                                               /            /  1   \/ 2001                            
           /          3 /   - + --------                                 /                                                               /          3 /   - + --------                           
         \/           \/    4      4                                   \/                                                              \/           \/    4      4                               
x4 = 4 - --------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------
                                     2                                                                                            2

$$x_{4} = - \frac{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}{2} + 4 + \frac{i \sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}} + \frac{4}{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}}}{2}$$

x4 = -sqrt(-10/(1/4 + sqrt(2001)/4)^(1/3) + 2*(1/4 + sqrt(2001)/4)^(1/3))/2 + 4 + i*sqrt(-10/(1/4 + sqrt(2001)/4)^(1/3) + 2*(1/4 + sqrt(2001)/4)^(1/3) + 4/sqrt(-10/(1/4 + sqrt(2001)/4)^(1/3) + 2*(1/4 + sqrt(2001)/4)^(1/3)))/2

Suma y producto de raíces [src]

suma

                                                                               ___________________________________________________________________________________________________________                                                                                  ___________________________________________________________________________________________________________                                                                                    ___________________________________________________________________________________________________________                                                                                    ___________________________________________________________________________________________________________
                                                                              /          ______________                                                                                                                                                                    /          ______________                                                                                                                                                                      /                                ______________                                                                                                                                                /                                ______________                                                             
                                                                             /          /       ______                                                                                                                                                                    /          /       ______                                                                                                                                                                      /                                /       ______                                                                                                                                                /                                /       ______                                                              
                                                                            /          /  1   \/ 2001                                 4                                        10                                                                                        /          /  1   \/ 2001                                 4                                        10                                                                                          /              10                /  1   \/ 2001                                 4                                                                                                              /              10                /  1   \/ 2001                                 4                             
                                                                           /    - 2*3 /   - + --------  + --------------------------------------------------------- + -------------------                                                                               /    - 2*3 /   - + --------  + --------------------------------------------------------- + -------------------                                                                    I*           /    - ------------------- + 2*3 /   - + --------  + ---------------------------------------------------------                                                                    I*           /    - ------------------- + 2*3 /   - + --------  + --------------------------------------------------------- 
              _______________________________________________             /         \/    4      4                  _______________________________________________        ______________                  _______________________________________________             /         \/    4      4                  _______________________________________________        ______________                  _______________________________________________               /            ______________     \/    4      4                  _______________________________________________                  _______________________________________________               /            ______________     \/    4      4                  _______________________________________________ 
             /                                ______________             /                                         /                                ______________        /       ______                  /                                ______________             /                                         /                                ______________        /       ______                  /                                ______________               /            /       ______                                     /                                ______________                  /                                ______________               /            /       ______                                     /                                ______________  
            /                                /       ______             /                                         /                                /       ______        /  1   \/ 2001                  /                                /       ______             /                                         /                                /       ______        /  1   \/ 2001                  /                                /       ______               /            /  1   \/ 2001                                     /                                /       ______                  /                                /       ______               /            /  1   \/ 2001                                     /                                /       ______   
           /              10                /  1   \/ 2001             /                                         /              10                /  1   \/ 2001      3 /   - + --------                /              10                /  1   \/ 2001             /                                         /              10                /  1   \/ 2001      3 /   - + --------                /              10                /  1   \/ 2001               /          3 /   - + --------                                   /              10                /  1   \/ 2001                  /              10                /  1   \/ 2001               /          3 /   - + --------                                   /              10                /  1   \/ 2001    
          /    - ------------------- + 2*3 /   - + --------           /                                         /    - ------------------- + 2*3 /   - + --------     \/    4      4                   /    - ------------------- + 2*3 /   - + --------           /                                         /    - ------------------- + 2*3 /   - + --------     \/    4      4                   /    - ------------------- + 2*3 /   - + --------             /           \/    4      4                                      /    - ------------------- + 2*3 /   - + --------                /    - ------------------- + 2*3 /   - + --------             /           \/    4      4                                      /    - ------------------- + 2*3 /   - + --------   
         /            ______________     \/    4      4              /                                         /            ______________     \/    4      4                                         /            ______________     \/    4      4              /                                         /            ______________     \/    4      4                                         /            ______________     \/    4      4                /                                                               /            ______________     \/    4      4                   /            ______________     \/    4      4                /                                                               /            ______________     \/    4      4       
        /            /       ______                                 /                                         /            /       ______                                                            /            /       ______                                 /                                         /            /       ______                                                            /            /       ______                                   /                                                               /            /       ______                                      /            /       ______                                   /                                                               /            /       ______                           
       /            /  1   \/ 2001                                 /                                         /            /  1   \/ 2001                                                            /            /  1   \/ 2001                                 /                                         /            /  1   \/ 2001                                                            /            /  1   \/ 2001                                   /                                                               /            /  1   \/ 2001                                      /            /  1   \/ 2001                                   /                                                               /            /  1   \/ 2001                            
      /          3 /   - + --------                               /                                         /          3 /   - + --------                                                          /          3 /   - + --------                               /                                         /          3 /   - + --------                                                          /          3 /   - + --------                                 /                                                               /          3 /   - + --------                                    /          3 /   - + --------                                 /                                                               /          3 /   - + --------                           
    \/           \/    4      4                                 \/                                        \/           \/    4      4                                                            \/           \/    4      4                                 \/                                        \/           \/    4      4                                                            \/           \/    4      4                                   \/                                                              \/           \/    4      4                                      \/           \/    4      4                                   \/                                                              \/           \/    4      4                               
4 + --------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------- + 4 + --------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------- + 4 - --------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------- + 4 - --------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------
                                2                                                                                           2                                                                                                2                                                                                           2                                                                                                2                                                                                            2                                                                                                 2                                                                                            2

$$\left(\left(\left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}} + \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + \frac{4}{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}}}{2} + \frac{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}{2} + 4\right) + \left(\frac{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}} + \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + \frac{4}{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}}}{2} + 4\right)\right) + \left(- \frac{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}{2} + 4 - \frac{i \sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}} + \frac{4}{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}}}{2}\right)\right) + \left(- \frac{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}{2} + 4 + \frac{i \sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}} + \frac{4}{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}}}{2}\right)$$

$$16$$

producto

/                                                                               ___________________________________________________________________________________________________________\ /                                                                               ___________________________________________________________________________________________________________\ /                                                                                 ___________________________________________________________________________________________________________\ /                                                                                 ___________________________________________________________________________________________________________\
|                                                                              /          ______________                                                                                   | |                                                                              /          ______________                                                                                   | |                                                                                /                                ______________                                                             | |                                                                                /                                ______________                                                             |
|                                                                             /          /       ______                                                                                    | |                                                                             /          /       ______                                                                                    | |                                                                               /                                /       ______                                                              | |                                                                               /                                /       ______                                                              |
|                                                                            /          /  1   \/ 2001                                 4                                        10         | |                                                                            /          /  1   \/ 2001                                 4                                        10         | |                                                                              /              10                /  1   \/ 2001                                 4                             | |                                                                              /              10                /  1   \/ 2001                                 4                             |
|                                                                           /    - 2*3 /   - + --------  + --------------------------------------------------------- + ------------------- | |                                                                           /    - 2*3 /   - + --------  + --------------------------------------------------------- + ------------------- | |                                                                I*           /    - ------------------- + 2*3 /   - + --------  + --------------------------------------------------------- | |                                                                I*           /    - ------------------- + 2*3 /   - + --------  + --------------------------------------------------------- |
|              _______________________________________________             /         \/    4      4                  _______________________________________________        ______________ | |              _______________________________________________             /         \/    4      4                  _______________________________________________        ______________ | |              _______________________________________________               /            ______________     \/    4      4                  _______________________________________________ | |              _______________________________________________               /            ______________     \/    4      4                  _______________________________________________ |
|             /                                ______________             /                                         /                                ______________        /       ______  | |             /                                ______________             /                                         /                                ______________        /       ______  | |             /                                ______________               /            /       ______                                     /                                ______________  | |             /                                ______________               /            /       ______                                     /                                ______________  |
|            /                                /       ______             /                                         /                                /       ______        /  1   \/ 2001   | |            /                                /       ______             /                                         /                                /       ______        /  1   \/ 2001   | |            /                                /       ______               /            /  1   \/ 2001                                     /                                /       ______   | |            /                                /       ______               /            /  1   \/ 2001                                     /                                /       ______   |
|           /              10                /  1   \/ 2001             /                                         /              10                /  1   \/ 2001      3 /   - + --------  | |           /              10                /  1   \/ 2001             /                                         /              10                /  1   \/ 2001      3 /   - + --------  | |           /              10                /  1   \/ 2001               /          3 /   - + --------                                   /              10                /  1   \/ 2001    | |           /              10                /  1   \/ 2001               /          3 /   - + --------                                   /              10                /  1   \/ 2001    |
|          /    - ------------------- + 2*3 /   - + --------           /                                         /    - ------------------- + 2*3 /   - + --------     \/    4      4      | |          /    - ------------------- + 2*3 /   - + --------           /                                         /    - ------------------- + 2*3 /   - + --------     \/    4      4      | |          /    - ------------------- + 2*3 /   - + --------             /           \/    4      4                                      /    - ------------------- + 2*3 /   - + --------   | |          /    - ------------------- + 2*3 /   - + --------             /           \/    4      4                                      /    - ------------------- + 2*3 /   - + --------   |
|         /            ______________     \/    4      4              /                                         /            ______________     \/    4      4                             | |         /            ______________     \/    4      4              /                                         /            ______________     \/    4      4                             | |         /            ______________     \/    4      4                /                                                               /            ______________     \/    4      4       | |         /            ______________     \/    4      4                /                                                               /            ______________     \/    4      4       |
|        /            /       ______                                 /                                         /            /       ______                                                 | |        /            /       ______                                 /                                         /            /       ______                                                 | |        /            /       ______                                   /                                                               /            /       ______                           | |        /            /       ______                                   /                                                               /            /       ______                           |
|       /            /  1   \/ 2001                                 /                                         /            /  1   \/ 2001                                                  | |       /            /  1   \/ 2001                                 /                                         /            /  1   \/ 2001                                                  | |       /            /  1   \/ 2001                                   /                                                               /            /  1   \/ 2001                            | |       /            /  1   \/ 2001                                   /                                                               /            /  1   \/ 2001                            |
|      /          3 /   - + --------                               /                                         /          3 /   - + --------                                                 | |      /          3 /   - + --------                               /                                         /          3 /   - + --------                                                 | |      /          3 /   - + --------                                 /                                                               /          3 /   - + --------                           | |      /          3 /   - + --------                                 /                                                               /          3 /   - + --------                           |
|    \/           \/    4      4                                 \/                                        \/           \/    4      4                                                     | |    \/           \/    4      4                                 \/                                        \/           \/    4      4                                                     | |    \/           \/    4      4                                   \/                                                              \/           \/    4      4                               | |    \/           \/    4      4                                   \/                                                              \/           \/    4      4                               |
|4 + --------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------|*|4 + --------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------|*|4 - --------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------|*|4 - --------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------|
\                                2                                                                                           2                                                             / \                                2                                                                                           2                                                             / \                                2                                                                                            2                                                              / \                                2                                                                                            2                                                              /

$$\left(\frac{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}} + \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + \frac{4}{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}}}{2} + 4\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}} + \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + \frac{4}{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}}}{2} + \frac{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}{2} + 4\right) \left(- \frac{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}{2} + 4 - \frac{i \sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}} + \frac{4}{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}}}{2}\right) \left(- \frac{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}{2} + 4 + \frac{i \sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}} + \frac{4}{\sqrt{- \frac{10}{\sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}} + 2 \sqrt[3]{\frac{1}{4} + \frac{\sqrt{2001}}{4}}}}}}{2}\right)$$

$$249$$

Respuesta numérica [src]

x1 = 2.1653071672877

x2 = 6.09288216148506

x3 = 3.87090533561362 + 1.97225561185846*i

x4 = 3.87090533561362 - 1.97225561185846*i

x4 = 3.87090533561362 - 1.97225561185846*i

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(x-4)^4-2(x-4)-15=0 la ecuación

Solución numérica:

Solución