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La ecuación:
Ecuación 3x-2(3x+4)=10
Ecuación x(x^2+2x+1)=6(x+1)
Ecuación 4x+1=-3x+15
Ecuación 6*3+x=72
Expresar {x} en función de y en la ecuación:
7*x-1*y=0
2*x-15*y=-1
-18*x-6*y=-1
13*x-12*y=19
Derivada de:
x*(x-1)*(x-2)*(x-3)*(x-4)
Expresiones idénticas
x*(x- uno)*(x- dos)*(x- tres)*(x- cuatro)= doscientos sesenta y cuatro * trescientos sesenta
x multiplicar por (x menos 1) multiplicar por (x menos 2) multiplicar por (x menos 3) multiplicar por (x menos 4) es igual a 264 multiplicar por 360
x multiplicar por (x menos uno) multiplicar por (x menos dos) multiplicar por (x menos tres) multiplicar por (x menos cuatro) es igual a doscientos sesenta y cuatro multiplicar por trescientos sesenta
x(x-1)(x-2)(x-3)(x-4)=264360
xx-1x-2x-3x-4=264360
Expresiones semejantes
x*(x+1)*(x-2)*(x-3)*(x-4)=264*360
x*(x-1)*(x+2)*(x-3)*(x-4)=264*360
x*(x-1)*(x-2)*(x+3)*(x-4)=264*360
x*(x-1)*(x-2)*(x-3)*(x+4)=264*360

x(x-1)(x-2)(x-3)(x-4)=264*360 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

x*(x - 1)*(x - 2)*(x - 3)*(x - 4) = 95040

$$x \left(x - 1\right) \left(x - 2\right) \left(x - 3\right) \left(x - 4\right) = 95040$$

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

x1 = 12

$$x_{1} = 12$$

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                                                                                                                                      /   230                                                      1200                                                           /    10693405   I*\/ 2257768365483                       94573                    
                                                                                                                        I*           /    --- - ---------------------------------------------------------------------------------------------------------- + 2*3 /   - -------- + -------------------  + ------------------------------------------ 
                     ________________________________________________________________________________________________               /      3              ________________________________________________________________________________________________     \/        216               12                    __________________________________ 
                    /                __________________________________                                                            /                     /                __________________________________                                                                                                    /                  _______________  
                   /                /                  _______________                                                            /                     /                /                  _______________                                                                                                    /    10693405   I*\/ 2257768365483   
                  /     115        /    10693405   I*\/ 2257768365483                       94573                                /                     /     115        /    10693405   I*\/ 2257768365483                       94573                                                                   18*3 /   - -------- + -------------------  
                 /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------            /                     /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------                                                   \/        216               12          
                /        3      \/        216               12                    __________________________________           /                     /        3      \/        216               12                    __________________________________                                                                                           
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              /                                                                 /    10693405   I*\/ 2257768365483           /                     /                                                                 /    10693405   I*\/ 2257768365483                                                                                             
             /                                                            18*3 /   - -------- + -------------------         /                     /                                                            18*3 /   - -------- + -------------------                                                                                            
       1   \/                                                                \/        216               12               \/                    \/                                                                \/        216               12                                                                                                    
x2 = - - - ---------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       2                                                       2                                                                                                                                                                     2

$$x_{2} = - \frac{1}{2} - \frac{i \sqrt{\frac{230}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} - \frac{1200}{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2} - \frac{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2}$$

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                                                                                                                                      /   230        /    10693405   I*\/ 2257768365483                                                        1200                                                                        94573                    
                                                                                                                        I*           /    --- + 2*3 /   - -------- + -------------------  + ---------------------------------------------------------------------------------------------------------- + ------------------------------------------ 
                     ________________________________________________________________________________________________               /      3      \/        216               12                      ________________________________________________________________________________________________           __________________________________ 
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                  /     115        /    10693405   I*\/ 2257768365483                       94573                                /                                                                 /     115        /    10693405   I*\/ 2257768365483                       94573                       18*3 /   - -------- + -------------------  
                 /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------            /                                                                 /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------       \/        216               12          
                /        3      \/        216               12                    __________________________________           /                                                                 /        3      \/        216               12                    __________________________________                                               
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              /                                                                 /    10693405   I*\/ 2257768365483           /                                                                 /                                                                 /    10693405   I*\/ 2257768365483                                                 
             /                                                            18*3 /   - -------- + -------------------         /                                                                 /                                                            18*3 /   - -------- + -------------------                                                
       1   \/                                                                \/        216               12               \/                                                                \/                                                                \/        216               12                                                        
x3 = - - + ---------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       2                                                       2                                                                                                                                                                     2

$$x_{3} = - \frac{1}{2} - \frac{i \sqrt{\frac{230}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + \frac{1200}{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2} + \frac{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2}$$

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                                                                                                                                      /   230        /    10693405   I*\/ 2257768365483                                                        1200                                                                        94573                    
                                                                                                                        I*           /    --- + 2*3 /   - -------- + -------------------  + ---------------------------------------------------------------------------------------------------------- + ------------------------------------------ 
                     ________________________________________________________________________________________________               /      3      \/        216               12                      ________________________________________________________________________________________________           __________________________________ 
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                  /     115        /    10693405   I*\/ 2257768365483                       94573                                /                                                                 /     115        /    10693405   I*\/ 2257768365483                       94573                       18*3 /   - -------- + -------------------  
                 /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------            /                                                                 /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------       \/        216               12          
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              /                                                                 /    10693405   I*\/ 2257768365483           /                                                                 /                                                                 /    10693405   I*\/ 2257768365483                                                 
             /                                                            18*3 /   - -------- + -------------------         /                                                                 /                                                            18*3 /   - -------- + -------------------                                                
       1   \/                                                                \/        216               12               \/                                                                \/                                                                \/        216               12                                                        
x4 = - - + ---------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       2                                                       2                                                                                                                                                                     2

$$x_{4} = - \frac{1}{2} + \frac{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2} + \frac{i \sqrt{\frac{230}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + \frac{1200}{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2}$$

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                                                                                                                                      /   230                                                      1200                                                           /    10693405   I*\/ 2257768365483                       94573                    
                                                                                                                        I*           /    --- - ---------------------------------------------------------------------------------------------------------- + 2*3 /   - -------- + -------------------  + ------------------------------------------ 
                     ________________________________________________________________________________________________               /      3              ________________________________________________________________________________________________     \/        216               12                    __________________________________ 
                    /                __________________________________                                                            /                     /                __________________________________                                                                                                    /                  _______________  
                   /                /                  _______________                                                            /                     /                /                  _______________                                                                                                    /    10693405   I*\/ 2257768365483   
                  /     115        /    10693405   I*\/ 2257768365483                       94573                                /                     /     115        /    10693405   I*\/ 2257768365483                       94573                                                                   18*3 /   - -------- + -------------------  
                 /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------            /                     /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------                                                   \/        216               12          
                /        3      \/        216               12                    __________________________________           /                     /        3      \/        216               12                    __________________________________                                                                                           
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              /                                                                 /    10693405   I*\/ 2257768365483           /                     /                                                                 /    10693405   I*\/ 2257768365483                                                                                             
             /                                                            18*3 /   - -------- + -------------------         /                     /                                                            18*3 /   - -------- + -------------------                                                                                            
       1   \/                                                                \/        216               12               \/                    \/                                                                \/        216               12                                                                                                    
x5 = - - - ---------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       2                                                       2                                                                                                                                                                     2

$$x_{5} = - \frac{1}{2} - \frac{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2} + \frac{i \sqrt{\frac{230}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} - \frac{1200}{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2}$$

x5 = -1/2 - sqrt(-115/3 + 94573/(18*(-10693405/216 + sqrt(2257768365483)*i/12)^(1/3)) + 2*(-10693405/216 + sqrt(2257768365483)*i/12)^(1/3))/2 + i*sqrt(230/3 + 94573/(18*(-10693405/216 + sqrt(2257768365483)*i/12)^(1/3)) - 1200/sqrt(-115/3 + 94573/(18*(-10693405/216 + sqrt(2257768365483)*i/12)^(1/3)) + 2*(-10693405/216 + sqrt(2257768365483)*i/12)^(1/3)) + 2*(-10693405/216 + sqrt(2257768365483)*i/12)^(1/3))/2

Suma y producto de raíces [src]

suma

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                                                                                                                                      /   230                                                      1200                                                           /    10693405   I*\/ 2257768365483                       94573                                                                                                                                                        /   230        /    10693405   I*\/ 2257768365483                                                        1200                                                                        94573                                                                                                                                                        /   230        /    10693405   I*\/ 2257768365483                                                        1200                                                                        94573                                                                                                                                                        /   230                                                      1200                                                           /    10693405   I*\/ 2257768365483                       94573                    
                                                                                                                        I*           /    --- - ---------------------------------------------------------------------------------------------------------- + 2*3 /   - -------- + -------------------  + ------------------------------------------                                                                                                                       I*           /    --- + 2*3 /   - -------- + -------------------  + ---------------------------------------------------------------------------------------------------------- + ------------------------------------------                                                                                                                       I*           /    --- + 2*3 /   - -------- + -------------------  + ---------------------------------------------------------------------------------------------------------- + ------------------------------------------                                                                                                                       I*           /    --- - ---------------------------------------------------------------------------------------------------------- + 2*3 /   - -------- + -------------------  + ------------------------------------------ 
                     ________________________________________________________________________________________________               /      3              ________________________________________________________________________________________________     \/        216               12                    __________________________________                    ________________________________________________________________________________________________               /      3      \/        216               12                      ________________________________________________________________________________________________           __________________________________                    ________________________________________________________________________________________________               /      3      \/        216               12                      ________________________________________________________________________________________________           __________________________________                    ________________________________________________________________________________________________               /      3              ________________________________________________________________________________________________     \/        216               12                    __________________________________ 
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                  /     115        /    10693405   I*\/ 2257768365483                       94573                                /                     /     115        /    10693405   I*\/ 2257768365483                       94573                                                                   18*3 /   - -------- + -------------------                  /     115        /    10693405   I*\/ 2257768365483                       94573                                /                                                                 /     115        /    10693405   I*\/ 2257768365483                       94573                       18*3 /   - -------- + -------------------                  /     115        /    10693405   I*\/ 2257768365483                       94573                                /                                                                 /     115        /    10693405   I*\/ 2257768365483                       94573                       18*3 /   - -------- + -------------------                  /     115        /    10693405   I*\/ 2257768365483                       94573                                /                     /     115        /    10693405   I*\/ 2257768365483                       94573                                                                   18*3 /   - -------- + -------------------  
                 /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------            /                     /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------                                                   \/        216               12                         /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------            /                                                                 /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------       \/        216               12                         /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------            /                                                                 /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------       \/        216               12                         /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------            /                     /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------                                                   \/        216               12          
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              /                                                                 /    10693405   I*\/ 2257768365483           /                     /                                                                 /    10693405   I*\/ 2257768365483                                                                                                         /                                                                 /    10693405   I*\/ 2257768365483           /                                                                 /                                                                 /    10693405   I*\/ 2257768365483                                                             /                                                                 /    10693405   I*\/ 2257768365483           /                                                                 /                                                                 /    10693405   I*\/ 2257768365483                                                             /                                                                 /    10693405   I*\/ 2257768365483           /                     /                                                                 /    10693405   I*\/ 2257768365483                                                                                             
             /                                                            18*3 /   - -------- + -------------------         /                     /                                                            18*3 /   - -------- + -------------------                                                                                                       /                                                            18*3 /   - -------- + -------------------         /                                                                 /                                                            18*3 /   - -------- + -------------------                                                           /                                                            18*3 /   - -------- + -------------------         /                                                                 /                                                            18*3 /   - -------- + -------------------                                                           /                                                            18*3 /   - -------- + -------------------         /                     /                                                            18*3 /   - -------- + -------------------                                                                                            
       1   \/                                                                \/        216               12               \/                    \/                                                                \/        216               12                                                                                                         1   \/                                                                \/        216               12               \/                                                                \/                                                                \/        216               12                                                             1   \/                                                                \/        216               12               \/                                                                \/                                                                \/        216               12                                                             1   \/                                                                \/        216               12               \/                    \/                                                                \/        216               12                                                                                                    
12 + - - - ---------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - - + ---------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - - + ---------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - - - ---------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
       2                                                       2                                                                                                                                                                     2                                                                                                                   2                                                       2                                                                                                                                                                     2                                                                                                                   2                                                       2                                                                                                                                                                     2                                                                                                                   2                                                       2                                                                                                                                                                     2

$$\left(\left(\left(- \frac{1}{2} - \frac{i \sqrt{\frac{230}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + \frac{1200}{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2} + \frac{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2}\right) + \left(12 + \left(- \frac{1}{2} - \frac{i \sqrt{\frac{230}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} - \frac{1200}{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2} - \frac{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2}\right)\right)\right) + \left(- \frac{1}{2} + \frac{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2} + \frac{i \sqrt{\frac{230}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + \frac{1200}{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2}\right)\right) + \left(- \frac{1}{2} - \frac{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2} + \frac{i \sqrt{\frac{230}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} - \frac{1200}{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2}\right)$$

$$10$$

producto

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   |                                                                                                                                 /   230                                                      1200                                                           /    10693405   I*\/ 2257768365483                       94573                    | |                                                                                                                                 /   230        /    10693405   I*\/ 2257768365483                                                        1200                                                                        94573                    | |                                                                                                                                 /   230        /    10693405   I*\/ 2257768365483                                                        1200                                                                        94573                    | |                                                                                                                                 /   230                                                      1200                                                           /    10693405   I*\/ 2257768365483                       94573                    |
   |                                                                                                                   I*           /    --- - ---------------------------------------------------------------------------------------------------------- + 2*3 /   - -------- + -------------------  + ------------------------------------------ | |                                                                                                                   I*           /    --- + 2*3 /   - -------- + -------------------  + ---------------------------------------------------------------------------------------------------------- + ------------------------------------------ | |                                                                                                                   I*           /    --- + 2*3 /   - -------- + -------------------  + ---------------------------------------------------------------------------------------------------------- + ------------------------------------------ | |                                                                                                                   I*           /    --- - ---------------------------------------------------------------------------------------------------------- + 2*3 /   - -------- + -------------------  + ------------------------------------------ |
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   |              /                /                  _______________                                                            /                     /                /                  _______________                                                                                                    /    10693405   I*\/ 2257768365483   | |              /                /                  _______________                                                            /                                                                 /                /                  _______________                                                        /    10693405   I*\/ 2257768365483   | |              /                /                  _______________                                                            /                                                                 /                /                  _______________                                                        /    10693405   I*\/ 2257768365483   | |              /                /                  _______________                                                            /                     /                /                  _______________                                                                                                    /    10693405   I*\/ 2257768365483   |
   |             /     115        /    10693405   I*\/ 2257768365483                       94573                                /                     /     115        /    10693405   I*\/ 2257768365483                       94573                                                                   18*3 /   - -------- + -------------------  | |             /     115        /    10693405   I*\/ 2257768365483                       94573                                /                                                                 /     115        /    10693405   I*\/ 2257768365483                       94573                       18*3 /   - -------- + -------------------  | |             /     115        /    10693405   I*\/ 2257768365483                       94573                                /                                                                 /     115        /    10693405   I*\/ 2257768365483                       94573                       18*3 /   - -------- + -------------------  | |             /     115        /    10693405   I*\/ 2257768365483                       94573                                /                     /     115        /    10693405   I*\/ 2257768365483                       94573                                                                   18*3 /   - -------- + -------------------  |
   |            /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------            /                     /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------                                                   \/        216               12          | |            /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------            /                                                                 /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------       \/        216               12          | |            /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------            /                                                                 /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------       \/        216               12          | |            /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------            /                     /    - --- + 2*3 /   - -------- + -------------------  + ------------------------------------------                                                   \/        216               12          |
   |           /        3      \/        216               12                    __________________________________           /                     /        3      \/        216               12                    __________________________________                                                                                           | |           /        3      \/        216               12                    __________________________________           /                                                                 /        3      \/        216               12                    __________________________________                                               | |           /        3      \/        216               12                    __________________________________           /                                                                 /        3      \/        216               12                    __________________________________                                               | |           /        3      \/        216               12                    __________________________________           /                     /        3      \/        216               12                    __________________________________                                                                                           |
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   |         /                                                                 /    10693405   I*\/ 2257768365483           /                     /                                                                 /    10693405   I*\/ 2257768365483                                                                                             | |         /                                                                 /    10693405   I*\/ 2257768365483           /                                                                 /                                                                 /    10693405   I*\/ 2257768365483                                                 | |         /                                                                 /    10693405   I*\/ 2257768365483           /                                                                 /                                                                 /    10693405   I*\/ 2257768365483                                                 | |         /                                                                 /    10693405   I*\/ 2257768365483           /                     /                                                                 /    10693405   I*\/ 2257768365483                                                                                             |
   |        /                                                            18*3 /   - -------- + -------------------         /                     /                                                            18*3 /   - -------- + -------------------                                                                                            | |        /                                                            18*3 /   - -------- + -------------------         /                                                                 /                                                            18*3 /   - -------- + -------------------                                                | |        /                                                            18*3 /   - -------- + -------------------         /                                                                 /                                                            18*3 /   - -------- + -------------------                                                | |        /                                                            18*3 /   - -------- + -------------------         /                     /                                                            18*3 /   - -------- + -------------------                                                                                            |
   |  1   \/                                                                \/        216               12               \/                    \/                                                                \/        216               12                                                                                                    | |  1   \/                                                                \/        216               12               \/                                                                \/                                                                \/        216               12                                                        | |  1   \/                                                                \/        216               12               \/                                                                \/                                                                \/        216               12                                                        | |  1   \/                                                                \/        216               12               \/                    \/                                                                \/        216               12                                                                                                    |
12*|- - - ---------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - + ---------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - + ---------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- - - ---------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
   \  2                                                       2                                                                                                                                                                     2                                                                                                              / \  2                                                       2                                                                                                                                                                     2                                                                                                              / \  2                                                       2                                                                                                                                                                     2                                                                                                              / \  2                                                       2                                                                                                                                                                     2                                                                                                              /

$$12 \left(- \frac{1}{2} - \frac{i \sqrt{\frac{230}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} - \frac{1200}{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2} - \frac{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2}\right) \left(- \frac{1}{2} - \frac{i \sqrt{\frac{230}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + \frac{1200}{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2} + \frac{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2}\right) \left(- \frac{1}{2} + \frac{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2} + \frac{i \sqrt{\frac{230}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + \frac{1200}{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2}\right) \left(- \frac{1}{2} - \frac{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2} + \frac{i \sqrt{\frac{230}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} - \frac{1200}{\sqrt{- \frac{115}{3} + \frac{94573}{18 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}} + 2 \sqrt[3]{- \frac{10693405}{216} + \frac{\sqrt{2257768365483} i}{12}}}}{2}\right)$$

$$95040$$

Respuesta numérica [src]

x1 = -6.0899394352932 + 5.75877597012012*i

x2 = 5.0899394352932 + 9.31833381600268*i

x3 = 12.0

x4 = -6.0899394352932 - 5.75877597012012*i

x5 = 5.0899394352932 - 9.31833381600268*i

x5 = 5.0899394352932 - 9.31833381600268*i

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x*(x-1)*(x-2)*(x-3)*(x-4)=264*360 la ecuación

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x(x-1)(x-2)(x-3)(x-4)=264*360 la ecuación