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La ecuación:
Ecuación 6*x^2+x-7=0
Ecuación z^5+32=0
Ecuación 2-5(3+2x)=17
Ecuación (6*x+8)/2+5=5*x/3
Expresar {x} en función de y en la ecuación:
-9*x-12*y=-19
-8*x+3*y=-4
16*x-17*y=-15
-10*x-12*y=-10
Derivada de:
x*(x-1)^3
Gráfico de la función y =:
x*(x-1)^3
Expresiones idénticas
x*(x- uno)^ tres = cero . seis
x multiplicar por (x menos 1) al cubo es igual a 0.006
x multiplicar por (x menos uno) en el grado tres es igual a cero . seis
x*(x-1)3=0.006
x*x-13=0.006
x*(x-1)³=0.006
x*(x-1) en el grado 3=0.006
x(x-1)^3=0.006
x(x-1)3=0.006
xx-13=0.006
xx-1^3=0.006
x*(x-1)^3=O.006
Expresiones semejantes
x*(x+1)^3=0.006

x*(x-1)^3=0.006 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

         3        
x*(x - 1)  = 3/500

$$x \left(x - 1\right)^{3} = \frac{3}{500}$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                        _____________________________________________________________________________________________________________________________________________                                                                            
                       /            ___________________                                                                                                                                                                                          
                      /            /            ______                                                                                                                                                                                           
                     /   1        /     3     \/ 5945                                          1                                                     1                                                                                           
                    /    - - 2*3 /   - ---- + --------  + --------------------------------------------------------------------------- + ----------------------------                                                                             
                   /     2     \/      8000    200000                 _______________________________________________________________            ___________________              _______________________________________________________________
                  /                                                  /            ___________________                                           /            ______              /            ___________________                                
                 /                                                  /            /            ______                                           /     3     \/ 5945              /            /            ______                                 
                /                                                  /   1        /     3     \/ 5945                  1                  250*3 /   - ---- + --------            /   1        /     3     \/ 5945                  1               
               /                                          4*      /    - + 2*3 /   - ---- + --------  - ----------------------------        \/      8000    200000            /    - + 2*3 /   - ---- + --------  - ---------------------------- 
              /                                                  /     4     \/      8000    200000              ___________________                                         /     4     \/      8000    200000              ___________________ 
             /                                                  /                                               /            ______                                         /                                               /            ______  
            /                                                  /                                               /     3     \/ 5945                                         /                                               /     3     \/ 5945   
           /                                                  /                                         250*3 /   - ---- + --------                                       /                                         250*3 /   - ---- + --------  
     3   \/                                                 \/                                              \/      8000    200000                                      \/                                              \/      8000    200000   
x1 = - + ------------------------------------------------------------------------------------------------------------------------------------------------------------ - -------------------------------------------------------------------------
     4                                                                                2                                                                                                                     2

$$x_{1} = - \frac{\sqrt{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + \frac{1}{2} + \frac{1}{4 \sqrt{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}}}}{2} + \frac{3}{4}$$

                                                                                                        _________________________________________________________________________________________________________________________________________________
                                                                                                       /              ___________________                                                                                                                
                                                                                                      /              /            ______                                                                                                                 
                                                                                                     /     1        /     3     \/ 5945                  1                                                       1                                       
                                                                                       I*           /    - - + 2*3 /   - ---- + --------  - ---------------------------- + ----------------------------------------------------------------------------- 
                   _________________________________________________________________               /       2     \/      8000    200000              ___________________               _________________________________________________________________ 
                  / |           ___________________                               |               /                                                 /            ______               / |           ___________________                               |  
                 /  |          /            ______                                |              /                                                 /     3     \/ 5945               /  |          /            ______                                |  
                /   |1        /     3     \/ 5945                  1              |             /                                           250*3 /   - ---- + --------             /   |1        /     3     \/ 5945                  1              |  
               /    |- + 2*3 /   - ---- + --------  - ----------------------------|            /                                                \/      8000    200000     4*      /    |- + 2*3 /   - ---- + --------  - ----------------------------|  
              /     |4     \/      8000    200000              ___________________|           /                                                                                   /     |4     \/      8000    200000              ___________________|  
             /      |                                         /            ______ |          /                                                                                   /      |                                         /            ______ |  
            /       |                                        /     3     \/ 5945  |         /                                                                                   /       |                                        /     3     \/ 5945  |  
           /        |                                 250*3 /   - ---- + -------- |        /                                                                                   /        |                                 250*3 /   - ---- + -------- |  
     3   \/         |                                     \/      8000    200000  |      \/                                                                                  \/         |                                     \/      8000    200000  |  
x2 = - + --------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------
     4                                        2                                                                                                                        2

$$x_{2} = \frac{\sqrt{\left|{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}\right|}}{2} + \frac{3}{4} - \frac{i \sqrt{- \frac{1}{2} - \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4 \sqrt{\left|{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}\right|}}}}{2}$$

                                                                                                        _________________________________________________________________________________________________________________________________________________
                                                                                                       /              ___________________                                                                                                                
                                                                                                      /              /            ______                                                                                                                 
                                                                                                     /     1        /     3     \/ 5945                  1                                                       1                                       
                                                                                       I*           /    - - + 2*3 /   - ---- + --------  - ---------------------------- + ----------------------------------------------------------------------------- 
                   _________________________________________________________________               /       2     \/      8000    200000              ___________________               _________________________________________________________________ 
                  / |           ___________________                               |               /                                                 /            ______               / |           ___________________                               |  
                 /  |          /            ______                                |              /                                                 /     3     \/ 5945               /  |          /            ______                                |  
                /   |1        /     3     \/ 5945                  1              |             /                                           250*3 /   - ---- + --------             /   |1        /     3     \/ 5945                  1              |  
               /    |- + 2*3 /   - ---- + --------  - ----------------------------|            /                                                \/      8000    200000     4*      /    |- + 2*3 /   - ---- + --------  - ----------------------------|  
              /     |4     \/      8000    200000              ___________________|           /                                                                                   /     |4     \/      8000    200000              ___________________|  
             /      |                                         /            ______ |          /                                                                                   /      |                                         /            ______ |  
            /       |                                        /     3     \/ 5945  |         /                                                                                   /       |                                        /     3     \/ 5945  |  
           /        |                                 250*3 /   - ---- + -------- |        /                                                                                   /        |                                 250*3 /   - ---- + -------- |  
     3   \/         |                                     \/      8000    200000  |      \/                                                                                  \/         |                                     \/      8000    200000  |  
x3 = - + --------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------
     4                                        2                                                                                                                        2

$$x_{3} = \frac{\sqrt{\left|{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}\right|}}{2} + \frac{3}{4} + \frac{i \sqrt{- \frac{1}{2} - \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4 \sqrt{\left|{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}\right|}}}}{2}$$

                                                                                                    _____________________________________________________________________________________________________________________________________________
                                                                                                   /            ___________________                                                                                                              
                                                                                                  /            /            ______                                                                                                               
                                                                                                 /   1        /     3     \/ 5945                                          1                                                     1               
                                                                                                /    - - 2*3 /   - ---- + --------  + --------------------------------------------------------------------------- + ---------------------------- 
                   _______________________________________________________________             /     2     \/      8000    200000                 _______________________________________________________________            ___________________ 
                  /            ___________________                                            /                                                  /            ___________________                                           /            ______  
                 /            /            ______                                            /                                                  /            /            ______                                           /     3     \/ 5945   
                /   1        /     3     \/ 5945                  1                         /                                                  /   1        /     3     \/ 5945                  1                  250*3 /   - ---- + --------  
               /    - + 2*3 /   - ---- + --------  - ----------------------------          /                                          4*      /    - + 2*3 /   - ---- + --------  - ----------------------------        \/      8000    200000   
              /     4     \/      8000    200000              ___________________         /                                                  /     4     \/      8000    200000              ___________________                                 
             /                                               /            ______         /                                                  /                                               /            ______                                  
            /                                               /     3     \/ 5945         /                                                  /                                               /     3     \/ 5945                                   
           /                                         250*3 /   - ---- + --------       /                                                  /                                         250*3 /   - ---- + --------                                  
     3   \/                                              \/      8000    200000      \/                                                 \/                                              \/      8000    200000                                   
x4 = - - ------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------
     4                                       2                                                                                                                    2

$$x_{4} = - \frac{\sqrt{- 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + \frac{1}{2} + \frac{1}{4 \sqrt{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}}}}{2} - \frac{\sqrt{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}}{2} + \frac{3}{4}$$

x4 = -sqrt(-2*(-3/8000 + sqrt(5945)/200000)^(1/3) + 1/(250*(-3/8000 + sqrt(5945)/200000)^(1/3)) + 1/2 + 1/(4*sqrt(-1/(250*(-3/8000 + sqrt(5945)/200000)^(1/3)) + 2*(-3/8000 + sqrt(5945)/200000)^(1/3) + 1/4)))/2 - sqrt(-1/(250*(-3/8000 + sqrt(5945)/200000)^(1/3)) + 2*(-3/8000 + sqrt(5945)/200000)^(1/3) + 1/4)/2 + 3/4

Suma y producto de raíces [src]

suma

                   _____________________________________________________________________________________________________________________________________________                                                                                                                                                                                  _________________________________________________________________________________________________________________________________________________                                                                                                      _________________________________________________________________________________________________________________________________________________                                                                                                  _____________________________________________________________________________________________________________________________________________
                  /            ___________________                                                                                                                                                                                                                                                                                               /              ___________________                                                                                                                                                                                                                     /              ___________________                                                                                                                                                                                                                 /            ___________________                                                                                                              
                 /            /            ______                                                                                                                                                                                                                                                                                               /              /            ______                                                                                                                                                                                                                     /              /            ______                                                                                                                                                                                                                 /            /            ______                                                                                                               
                /   1        /     3     \/ 5945                                          1                                                     1                                                                                                                                                                                              /     1        /     3     \/ 5945                  1                                                       1                                                                                                                                          /     1        /     3     \/ 5945                  1                                                       1                                                                                                                                      /   1        /     3     \/ 5945                                          1                                                     1               
               /    - - 2*3 /   - ---- + --------  + --------------------------------------------------------------------------- + ----------------------------                                                                                                                                                                  I*           /    - - + 2*3 /   - ---- + --------  - ---------------------------- + -----------------------------------------------------------------------------                                                                                      I*           /    - - + 2*3 /   - ---- + --------  - ---------------------------- + -----------------------------------------------------------------------------                                                                                               /    - - 2*3 /   - ---- + --------  + --------------------------------------------------------------------------- + ---------------------------- 
              /     2     \/      8000    200000                 _______________________________________________________________            ___________________              _______________________________________________________________                 _________________________________________________________________               /       2     \/      8000    200000              ___________________               _________________________________________________________________                  _________________________________________________________________               /       2     \/      8000    200000              ___________________               _________________________________________________________________                  _______________________________________________________________             /     2     \/      8000    200000                 _______________________________________________________________            ___________________ 
             /                                                  /            ___________________                                           /            ______              /            ___________________                                                / |           ___________________                               |               /                                                 /            ______               / |           ___________________                               |                  / |           ___________________                               |               /                                                 /            ______               / |           ___________________                               |                  /            ___________________                                            /                                                  /            ___________________                                           /            ______  
            /                                                  /            /            ______                                           /     3     \/ 5945              /            /            ______                                                /  |          /            ______                                |              /                                                 /     3     \/ 5945               /  |          /            ______                                |                 /  |          /            ______                                |              /                                                 /     3     \/ 5945               /  |          /            ______                                |                 /            /            ______                                            /                                                  /            /            ______                                           /     3     \/ 5945   
           /                                                  /   1        /     3     \/ 5945                  1                  250*3 /   - ---- + --------            /   1        /     3     \/ 5945                  1                             /   |1        /     3     \/ 5945                  1              |             /                                           250*3 /   - ---- + --------             /   |1        /     3     \/ 5945                  1              |                /   |1        /     3     \/ 5945                  1              |             /                                           250*3 /   - ---- + --------             /   |1        /     3     \/ 5945                  1              |                /   1        /     3     \/ 5945                  1                         /                                                  /   1        /     3     \/ 5945                  1                  250*3 /   - ---- + --------  
          /                                          4*      /    - + 2*3 /   - ---- + --------  - ----------------------------        \/      8000    200000            /    - + 2*3 /   - ---- + --------  - ----------------------------              /    |- + 2*3 /   - ---- + --------  - ----------------------------|            /                                                \/      8000    200000     4*      /    |- + 2*3 /   - ---- + --------  - ----------------------------|               /    |- + 2*3 /   - ---- + --------  - ----------------------------|            /                                                \/      8000    200000     4*      /    |- + 2*3 /   - ---- + --------  - ----------------------------|               /    - + 2*3 /   - ---- + --------  - ----------------------------          /                                          4*      /    - + 2*3 /   - ---- + --------  - ----------------------------        \/      8000    200000   
         /                                                  /     4     \/      8000    200000              ___________________                                         /     4     \/      8000    200000              ___________________             /     |4     \/      8000    200000              ___________________|           /                                                                                   /     |4     \/      8000    200000              ___________________|              /     |4     \/      8000    200000              ___________________|           /                                                                                   /     |4     \/      8000    200000              ___________________|              /     4     \/      8000    200000              ___________________         /                                                  /     4     \/      8000    200000              ___________________                                 
        /                                                  /                                               /            ______                                         /                                               /            ______             /      |                                         /            ______ |          /                                                                                   /      |                                         /            ______ |             /      |                                         /            ______ |          /                                                                                   /      |                                         /            ______ |             /                                               /            ______         /                                                  /                                               /            ______                                  
       /                                                  /                                               /     3     \/ 5945                                         /                                               /     3     \/ 5945             /       |                                        /     3     \/ 5945  |         /                                                                                   /       |                                        /     3     \/ 5945  |            /       |                                        /     3     \/ 5945  |         /                                                                                   /       |                                        /     3     \/ 5945  |            /                                               /     3     \/ 5945         /                                                  /                                               /     3     \/ 5945                                   
      /                                                  /                                         250*3 /   - ---- + --------                                       /                                         250*3 /   - ---- + --------           /        |                                 250*3 /   - ---- + -------- |        /                                                                                   /        |                                 250*3 /   - ---- + -------- |           /        |                                 250*3 /   - ---- + -------- |        /                                                                                   /        |                                 250*3 /   - ---- + -------- |           /                                         250*3 /   - ---- + --------       /                                                  /                                         250*3 /   - ---- + --------                                  
3   \/                                                 \/                                              \/      8000    200000                                      \/                                              \/      8000    200000      3   \/         |                                     \/      8000    200000  |      \/                                                                                  \/         |                                     \/      8000    200000  |     3   \/         |                                     \/      8000    200000  |      \/                                                                                  \/         |                                     \/      8000    200000  |     3   \/                                              \/      8000    200000      \/                                                 \/                                              \/      8000    200000                                   
- + ------------------------------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------- + - + --------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------ + - + --------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------ + - - ------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------
4                                                                                2                                                                                                                     2                                       4                                        2                                                                                                                        2                                                                                    4                                        2                                                                                                                        2                                                                                    4                                       2                                                                                                                    2

$$\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + \frac{1}{2} + \frac{1}{4 \sqrt{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}}}}{2} - \frac{\sqrt{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}}{2} + \frac{3}{4}\right) + \left(\left(\left(- \frac{\sqrt{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + \frac{1}{2} + \frac{1}{4 \sqrt{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}}}}{2} + \frac{3}{4}\right) + \left(\frac{\sqrt{\left|{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}\right|}}{2} + \frac{3}{4} - \frac{i \sqrt{- \frac{1}{2} - \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4 \sqrt{\left|{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}\right|}}}}{2}\right)\right) + \left(\frac{\sqrt{\left|{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}\right|}}{2} + \frac{3}{4} + \frac{i \sqrt{- \frac{1}{2} - \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4 \sqrt{\left|{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}\right|}}}}{2}\right)\right)$$

              _________________________________________________________________             _______________________________________________________________
             / |           ___________________                               |             /            ___________________                                
            /  |          /            ______                                |            /            /            ______                                 
           /   |1        /     3     \/ 5945                  1              |           /   1        /     3     \/ 5945                  1               
3 +       /    |- + 2*3 /   - ---- + --------  - ----------------------------|  -       /    - + 2*3 /   - ---- + --------  - ---------------------------- 
         /     |4     \/      8000    200000              ___________________|         /     4     \/      8000    200000              ___________________ 
        /      |                                         /            ______ |        /                                               /            ______  
       /       |                                        /     3     \/ 5945  |       /                                               /     3     \/ 5945   
      /        |                                 250*3 /   - ---- + -------- |      /                                         250*3 /   - ---- + --------  
    \/         |                                     \/      8000    200000  |    \/                                              \/      8000    200000

$$- \sqrt{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}} + \sqrt{\left|{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}\right|} + 3$$

producto

/                   _____________________________________________________________________________________________________________________________________________                                                                            \ /                                                                                                   _________________________________________________________________________________________________________________________________________________\ /                                                                                                   _________________________________________________________________________________________________________________________________________________\ /                                                                                               _____________________________________________________________________________________________________________________________________________\
|                  /            ___________________                                                                                                                                                                                          | |                                                                                                  /              ___________________                                                                                                                | |                                                                                                  /              ___________________                                                                                                                | |                                                                                              /            ___________________                                                                                                              |
|                 /            /            ______                                                                                                                                                                                           | |                                                                                                 /              /            ______                                                                                                                 | |                                                                                                 /              /            ______                                                                                                                 | |                                                                                             /            /            ______                                                                                                               |
|                /   1        /     3     \/ 5945                                          1                                                     1                                                                                           | |                                                                                                /     1        /     3     \/ 5945                  1                                                       1                                       | |                                                                                                /     1        /     3     \/ 5945                  1                                                       1                                       | |                                                                                            /   1        /     3     \/ 5945                                          1                                                     1               |
|               /    - - 2*3 /   - ---- + --------  + --------------------------------------------------------------------------- + ----------------------------                                                                             | |                                                                                  I*           /    - - + 2*3 /   - ---- + --------  - ---------------------------- + ----------------------------------------------------------------------------- | |                                                                                  I*           /    - - + 2*3 /   - ---- + --------  - ---------------------------- + ----------------------------------------------------------------------------- | |                                                                                           /    - - 2*3 /   - ---- + --------  + --------------------------------------------------------------------------- + ---------------------------- |
|              /     2     \/      8000    200000                 _______________________________________________________________            ___________________              _______________________________________________________________| |              _________________________________________________________________               /       2     \/      8000    200000              ___________________               _________________________________________________________________ | |              _________________________________________________________________               /       2     \/      8000    200000              ___________________               _________________________________________________________________ | |              _______________________________________________________________             /     2     \/      8000    200000                 _______________________________________________________________            ___________________ |
|             /                                                  /            ___________________                                           /            ______              /            ___________________                                | |             / |           ___________________                               |               /                                                 /            ______               / |           ___________________                               |  | |             / |           ___________________                               |               /                                                 /            ______               / |           ___________________                               |  | |             /            ___________________                                            /                                                  /            ___________________                                           /            ______  |
|            /                                                  /            /            ______                                           /     3     \/ 5945              /            /            ______                                 | |            /  |          /            ______                                |              /                                                 /     3     \/ 5945               /  |          /            ______                                |  | |            /  |          /            ______                                |              /                                                 /     3     \/ 5945               /  |          /            ______                                |  | |            /            /            ______                                            /                                                  /            /            ______                                           /     3     \/ 5945   |
|           /                                                  /   1        /     3     \/ 5945                  1                  250*3 /   - ---- + --------            /   1        /     3     \/ 5945                  1               | |           /   |1        /     3     \/ 5945                  1              |             /                                           250*3 /   - ---- + --------             /   |1        /     3     \/ 5945                  1              |  | |           /   |1        /     3     \/ 5945                  1              |             /                                           250*3 /   - ---- + --------             /   |1        /     3     \/ 5945                  1              |  | |           /   1        /     3     \/ 5945                  1                         /                                                  /   1        /     3     \/ 5945                  1                  250*3 /   - ---- + --------  |
|          /                                          4*      /    - + 2*3 /   - ---- + --------  - ----------------------------        \/      8000    200000            /    - + 2*3 /   - ---- + --------  - ---------------------------- | |          /    |- + 2*3 /   - ---- + --------  - ----------------------------|            /                                                \/      8000    200000     4*      /    |- + 2*3 /   - ---- + --------  - ----------------------------|  | |          /    |- + 2*3 /   - ---- + --------  - ----------------------------|            /                                                \/      8000    200000     4*      /    |- + 2*3 /   - ---- + --------  - ----------------------------|  | |          /    - + 2*3 /   - ---- + --------  - ----------------------------          /                                          4*      /    - + 2*3 /   - ---- + --------  - ----------------------------        \/      8000    200000   |
|         /                                                  /     4     \/      8000    200000              ___________________                                         /     4     \/      8000    200000              ___________________ | |         /     |4     \/      8000    200000              ___________________|           /                                                                                   /     |4     \/      8000    200000              ___________________|  | |         /     |4     \/      8000    200000              ___________________|           /                                                                                   /     |4     \/      8000    200000              ___________________|  | |         /     4     \/      8000    200000              ___________________         /                                                  /     4     \/      8000    200000              ___________________                                 |
|        /                                                  /                                               /            ______                                         /                                               /            ______  | |        /      |                                         /            ______ |          /                                                                                   /      |                                         /            ______ |  | |        /      |                                         /            ______ |          /                                                                                   /      |                                         /            ______ |  | |        /                                               /            ______         /                                                  /                                               /            ______                                  |
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|      /                                                  /                                         250*3 /   - ---- + --------                                       /                                         250*3 /   - ---- + --------  | |      /        |                                 250*3 /   - ---- + -------- |        /                                                                                   /        |                                 250*3 /   - ---- + -------- |  | |      /        |                                 250*3 /   - ---- + -------- |        /                                                                                   /        |                                 250*3 /   - ---- + -------- |  | |      /                                         250*3 /   - ---- + --------       /                                                  /                                         250*3 /   - ---- + --------                                  |
|3   \/                                                 \/                                              \/      8000    200000                                      \/                                              \/      8000    200000   | |3   \/         |                                     \/      8000    200000  |      \/                                                                                  \/         |                                     \/      8000    200000  |  | |3   \/         |                                     \/      8000    200000  |      \/                                                                                  \/         |                                     \/      8000    200000  |  | |3   \/                                              \/      8000    200000      \/                                                 \/                                              \/      8000    200000                                   |
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\4                                                                                2                                                                                                                     2                                    / \4                                        2                                                                                                                        2                                                                                 / \4                                        2                                                                                                                        2                                                                                 / \4                                       2                                                                                                                    2                                                                              /

$$\left(- \frac{\sqrt{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + \frac{1}{2} + \frac{1}{4 \sqrt{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}}}}{2} + \frac{3}{4}\right) \left(\frac{\sqrt{\left|{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}\right|}}{2} + \frac{3}{4} - \frac{i \sqrt{- \frac{1}{2} - \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4 \sqrt{\left|{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}\right|}}}}{2}\right) \left(\frac{\sqrt{\left|{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}\right|}}{2} + \frac{3}{4} + \frac{i \sqrt{- \frac{1}{2} - \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4 \sqrt{\left|{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}\right|}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + \frac{1}{2} + \frac{1}{4 \sqrt{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}}}}{2} - \frac{\sqrt{- \frac{1}{250 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}}} + 2 \sqrt[3]{- \frac{3}{8000} + \frac{\sqrt{5945}}{200000}} + \frac{1}{4}}}{2} + \frac{3}{4}\right)$$

-3/500

$$- \frac{3}{500}$$

-3/500

Respuesta numérica [src]

x1 = 1.17233235885309

x2 = 0.916781383886923 - 0.166394296499678*i

x3 = 0.916781383886923 + 0.166394296499678*i

x4 = -0.00589512662693788

x4 = -0.00589512662693788

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x*(x-1)^3=0.006 la ecuación

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