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La ecuación:
Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
Ecuación x^2-5x=0
Ecuación x^2+4=5x
Ecuación x^4-35*x^2-36=0
Expresar {x} en función de y en la ecuación:
-6*x-20*y=8
-17*x-15*y=-17
-6*x-10*y=19
-9*x+11*y=9
Expresiones idénticas
x*x*x*x-16x*x+2 cero x- veinticinco =0
x multiplicar por x multiplicar por x multiplicar por x menos 16x multiplicar por x más 20x menos 25 es igual a 0
x multiplicar por x multiplicar por x multiplicar por x menos 16x multiplicar por x más 2 cero x menos veinticinco es igual a 0
xxxx-16xx+20x-25=0
x*x*x*x-16x*x+20x-25=O
Expresiones semejantes
x*x*x*x+16x*x+20x-25=0
x*x*x*x-16x*x-20x-25=0
x*x*x*x-16x*x+20x+25=0

xxxx-16xx+20x-25=0 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

x*x*x*x - 16*x*x + 20*x - 25 = 0

$$\left(20 x + \left(- x 16 x + x x x x\right)\right) - 25 = 0$$

Simplificar

Respuesta rápida [src]

                    _________________________________________________________________________________________________________________________________________________                                                                               
                   /             _____________________                                                                                                                                                                                              
                  /             /               _____                                                                                                                                                                                               
                 /   64        /    1637   10*\/ 331                                          40                                                     22                                                                                             
                /    -- - 2*3 /   - ---- + ----------  + ---------------------------------------------------------------------------- + ----------------------------                                                                                
               /     3      \/       27        3                   __________________________________________________________________          _____________________              __________________________________________________________________
              /                                                   /             _____________________                                         /               _____              /             _____________________                                
             /                                                   /             /               _____                                         /    1637   10*\/ 331              /             /               _____                                 
            /                                                   /   32        /    1637   10*\/ 331                  22                 9*3 /   - ---- + ----------            /   32        /    1637   10*\/ 331                  22              
           /                                                   /    -- + 2*3 /   - ---- + ----------  - ----------------------------      \/       27        3                /    -- + 2*3 /   - ---- + ----------  - ---------------------------- 
          /                                                   /     3      \/       27        3                _____________________                                         /     3      \/       27        3                _____________________ 
         /                                                   /                                                /               _____                                         /                                                /               _____  
        /                                                   /                                                /    1637   10*\/ 331                                         /                                                /    1637   10*\/ 331   
       /                                                   /                                            9*3 /   - ---- + ----------                                       /                                            9*3 /   - ---- + ----------  
     \/                                                  \/                                               \/       27        3                                          \/                                               \/       27        3       
x1 = ---------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------
                                                                                    2                                                                                                                        2

$$x_{1} = - \frac{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + \frac{64}{3} + \frac{40}{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}}}}{2}$$

                                                                                                       _____________________________________________________________________________________________________________________________________________________
                                                                                                      /               _____________________                                                                                                                 
                                                                                                     /               /               _____                                                                                                                  
                                                                                                    /     64        /    1637   10*\/ 331                                           40                                                      22              
                                                                                      I*           /    - -- + 2*3 /   - ---- + ----------  + ------------------------------------------------------------------------------ - ---------------------------- 
               ____________________________________________________________________               /       3      \/       27        3                   ____________________________________________________________________          _____________________ 
              / |            _____________________                               |               /                                                     / |            _____________________                               |          /               _____  
             /  |           /               _____                                |              /                                                     /  |           /               _____                                |         /    1637   10*\/ 331   
            /   |32        /    1637   10*\/ 331                  22             |             /                                                     /   |32        /    1637   10*\/ 331                  22             |    9*3 /   - ---- + ----------  
           /    |-- + 2*3 /   - ---- + ----------  - ----------------------------|            /                                                     /    |-- + 2*3 /   - ---- + ----------  - ----------------------------|      \/       27        3       
          /     |3      \/       27        3                _____________________|           /                                                     /     |3      \/       27        3                _____________________|                                 
         /      |                                          /               _____ |          /                                                     /      |                                          /               _____ |                                 
        /       |                                         /    1637   10*\/ 331  |         /                                                     /       |                                         /    1637   10*\/ 331  |                                 
       /        |                                    9*3 /   - ---- + ---------- |        /                                                     /        |                                    9*3 /   - ---- + ---------- |                                 
     \/         |                                      \/       27        3      |      \/                                                    \/         |                                      \/       27        3      |                                 
x2 = ------------------------------------------------------------------------------ - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                           2                                                                                                                            2

$$x_{2} = \frac{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}\right|}}{2} - \frac{i \sqrt{- \frac{64}{3} - \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{40}{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}\right|}}}}{2}$$

                                                                                                       _____________________________________________________________________________________________________________________________________________________
                                                                                                      /               _____________________                                                                                                                 
                                                                                                     /               /               _____                                                                                                                  
                                                                                                    /     64        /    1637   10*\/ 331                                           40                                                      22              
                                                                                      I*           /    - -- + 2*3 /   - ---- + ----------  + ------------------------------------------------------------------------------ - ---------------------------- 
               ____________________________________________________________________               /       3      \/       27        3                   ____________________________________________________________________          _____________________ 
              / |            _____________________                               |               /                                                     / |            _____________________                               |          /               _____  
             /  |           /               _____                                |              /                                                     /  |           /               _____                                |         /    1637   10*\/ 331   
            /   |32        /    1637   10*\/ 331                  22             |             /                                                     /   |32        /    1637   10*\/ 331                  22             |    9*3 /   - ---- + ----------  
           /    |-- + 2*3 /   - ---- + ----------  - ----------------------------|            /                                                     /    |-- + 2*3 /   - ---- + ----------  - ----------------------------|      \/       27        3       
          /     |3      \/       27        3                _____________________|           /                                                     /     |3      \/       27        3                _____________________|                                 
         /      |                                          /               _____ |          /                                                     /      |                                          /               _____ |                                 
        /       |                                         /    1637   10*\/ 331  |         /                                                     /       |                                         /    1637   10*\/ 331  |                                 
       /        |                                    9*3 /   - ---- + ---------- |        /                                                     /        |                                    9*3 /   - ---- + ---------- |                                 
     \/         |                                      \/       27        3      |      \/                                                    \/         |                                      \/       27        3      |                                 
x3 = ------------------------------------------------------------------------------ + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------
                                           2                                                                                                                            2

$$x_{3} = \frac{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}\right|}}{2} + \frac{i \sqrt{- \frac{64}{3} - \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{40}{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}\right|}}}}{2}$$

                                                                                                     _________________________________________________________________________________________________________________________________________________
                                                                                                    /             _____________________                                                                                                               
                                                                                                   /             /               _____                                                                                                                
                                                                                                  /   64        /    1637   10*\/ 331                                          40                                                     22              
                                                                                                 /    -- - 2*3 /   - ---- + ----------  + ---------------------------------------------------------------------------- + ---------------------------- 
                 __________________________________________________________________             /     3      \/       27        3                   __________________________________________________________________          _____________________ 
                /             _____________________                                            /                                                   /             _____________________                                         /               _____  
               /             /               _____                                            /                                                   /             /               _____                                         /    1637   10*\/ 331   
              /   32        /    1637   10*\/ 331                  22                        /                                                   /   32        /    1637   10*\/ 331                  22                 9*3 /   - ---- + ----------  
             /    -- + 2*3 /   - ---- + ----------  - ----------------------------          /                                                   /    -- + 2*3 /   - ---- + ----------  - ----------------------------      \/       27        3       
            /     3      \/       27        3                _____________________         /                                                   /     3      \/       27        3                _____________________                                 
           /                                                /               _____         /                                                   /                                                /               _____                                  
          /                                                /    1637   10*\/ 331         /                                                   /                                                /    1637   10*\/ 331                                   
         /                                            9*3 /   - ---- + ----------       /                                                   /                                            9*3 /   - ---- + ----------                                  
       \/                                               \/       27        3          \/                                                  \/                                               \/       27        3                                       
x4 = - ---------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------
                                            2                                                                                                                        2

$$x_{4} = - \frac{\sqrt{- 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + \frac{64}{3} + \frac{40}{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}}}}{2} - \frac{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}}{2}$$

x4 = -sqrt(-2*(-1637/27 + 10*sqrt(331)/3)^(1/3) + 22/(9*(-1637/27 + 10*sqrt(331)/3)^(1/3)) + 64/3 + 40/sqrt(-22/(9*(-1637/27 + 10*sqrt(331)/3)^(1/3)) + 2*(-1637/27 + 10*sqrt(331)/3)^(1/3) + 32/3))/2 - sqrt(-22/(9*(-1637/27 + 10*sqrt(331)/3)^(1/3)) + 2*(-1637/27 + 10*sqrt(331)/3)^(1/3) + 32/3)/2

Suma y producto de raíces [src]

suma

               _________________________________________________________________________________________________________________________________________________                                                                                                                                                                                    _____________________________________________________________________________________________________________________________________________________                                                                                                     _____________________________________________________________________________________________________________________________________________________                                                                                                   _________________________________________________________________________________________________________________________________________________
              /             _____________________                                                                                                                                                                                                                                                                                                  /               _____________________                                                                                                                                                                                                                     /               _____________________                                                                                                                                                                                                                   /             _____________________                                                                                                               
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            /   64        /    1637   10*\/ 331                                          40                                                     22                                                                                                                                                                                               /     64        /    1637   10*\/ 331                                           40                                                      22                                                                                                                /     64        /    1637   10*\/ 331                                           40                                                      22                                                                                                              /   64        /    1637   10*\/ 331                                          40                                                     22              
           /    -- - 2*3 /   - ---- + ----------  + ---------------------------------------------------------------------------- + ----------------------------                                                                                                                                                                    I*           /    - -- + 2*3 /   - ---- + ----------  + ------------------------------------------------------------------------------ - ----------------------------                                                                                     I*           /    - -- + 2*3 /   - ---- + ----------  + ------------------------------------------------------------------------------ - ----------------------------                                                                                                /    -- - 2*3 /   - ---- + ----------  + ---------------------------------------------------------------------------- + ---------------------------- 
          /     3      \/       27        3                   __________________________________________________________________          _____________________              __________________________________________________________________             ____________________________________________________________________               /       3      \/       27        3                   ____________________________________________________________________          _____________________              ____________________________________________________________________               /       3      \/       27        3                   ____________________________________________________________________          _____________________                __________________________________________________________________             /     3      \/       27        3                   __________________________________________________________________          _____________________ 
         /                                                   /             _____________________                                         /               _____              /             _____________________                                            / |            _____________________                               |               /                                                     / |            _____________________                               |          /               _____              / |            _____________________                               |               /                                                     / |            _____________________                               |          /               _____                /             _____________________                                            /                                                   /             _____________________                                         /               _____  
        /                                                   /             /               _____                                         /    1637   10*\/ 331              /             /               _____                                            /  |           /               _____                                |              /                                                     /  |           /               _____                                |         /    1637   10*\/ 331              /  |           /               _____                                |              /                                                     /  |           /               _____                                |         /    1637   10*\/ 331                /             /               _____                                            /                                                   /             /               _____                                         /    1637   10*\/ 331   
       /                                                   /   32        /    1637   10*\/ 331                  22                 9*3 /   - ---- + ----------            /   32        /    1637   10*\/ 331                  22                        /   |32        /    1637   10*\/ 331                  22             |             /                                                     /   |32        /    1637   10*\/ 331                  22             |    9*3 /   - ---- + ----------            /   |32        /    1637   10*\/ 331                  22             |             /                                                     /   |32        /    1637   10*\/ 331                  22             |    9*3 /   - ---- + ----------              /   32        /    1637   10*\/ 331                  22                        /                                                   /   32        /    1637   10*\/ 331                  22                 9*3 /   - ---- + ----------  
      /                                                   /    -- + 2*3 /   - ---- + ----------  - ----------------------------      \/       27        3                /    -- + 2*3 /   - ---- + ----------  - ----------------------------          /    |-- + 2*3 /   - ---- + ----------  - ----------------------------|            /                                                     /    |-- + 2*3 /   - ---- + ----------  - ----------------------------|      \/       27        3                /    |-- + 2*3 /   - ---- + ----------  - ----------------------------|            /                                                     /    |-- + 2*3 /   - ---- + ----------  - ----------------------------|      \/       27        3                  /    -- + 2*3 /   - ---- + ----------  - ----------------------------          /                                                   /    -- + 2*3 /   - ---- + ----------  - ----------------------------      \/       27        3       
     /                                                   /     3      \/       27        3                _____________________                                         /     3      \/       27        3                _____________________         /     |3      \/       27        3                _____________________|           /                                                     /     |3      \/       27        3                _____________________|                                         /     |3      \/       27        3                _____________________|           /                                                     /     |3      \/       27        3                _____________________|                                           /     3      \/       27        3                _____________________         /                                                   /     3      \/       27        3                _____________________                                 
    /                                                   /                                                /               _____                                         /                                                /               _____         /      |                                          /               _____ |          /                                                     /      |                                          /               _____ |                                        /      |                                          /               _____ |          /                                                     /      |                                          /               _____ |                                          /                                                /               _____         /                                                   /                                                /               _____                                  
   /                                                   /                                                /    1637   10*\/ 331                                         /                                                /    1637   10*\/ 331         /       |                                         /    1637   10*\/ 331  |         /                                                     /       |                                         /    1637   10*\/ 331  |                                       /       |                                         /    1637   10*\/ 331  |         /                                                     /       |                                         /    1637   10*\/ 331  |                                         /                                                /    1637   10*\/ 331         /                                                   /                                                /    1637   10*\/ 331                                   
  /                                                   /                                            9*3 /   - ---- + ----------                                       /                                            9*3 /   - ---- + ----------       /        |                                    9*3 /   - ---- + ---------- |        /                                                     /        |                                    9*3 /   - ---- + ---------- |                                      /        |                                    9*3 /   - ---- + ---------- |        /                                                     /        |                                    9*3 /   - ---- + ---------- |                                        /                                            9*3 /   - ---- + ----------       /                                                   /                                            9*3 /   - ---- + ----------                                  
\/                                                  \/                                               \/       27        3                                          \/                                               \/       27        3          \/         |                                      \/       27        3      |      \/                                                    \/         |                                      \/       27        3      |                                    \/         |                                      \/       27        3      |      \/                                                    \/         |                                      \/       27        3      |                                      \/                                               \/       27        3          \/                                                  \/                                               \/       27        3                                       
---------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------- + ------------------------------------------------------------------------------ - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------ + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - ---------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------
                                                                               2                                                                                                                        2                                                                               2                                                                                                                            2                                                                                                                            2                                                                                                                            2                                                                                                                             2                                                                                                                        2

$$\left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + \frac{64}{3} + \frac{40}{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}}}}{2} - \frac{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}}{2}\right) + \left(\left(\left(- \frac{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + \frac{64}{3} + \frac{40}{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}}}}{2}\right) + \left(\frac{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}\right|}}{2} - \frac{i \sqrt{- \frac{64}{3} - \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{40}{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}\right|}}}}{2}\right)\right) + \left(\frac{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}\right|}}{2} + \frac{i \sqrt{- \frac{64}{3} - \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{40}{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}\right|}}}}{2}\right)\right)$$

          ____________________________________________________________________             __________________________________________________________________
         / |            _____________________                               |             /             _____________________                                
        /  |           /               _____                                |            /             /               _____                                 
       /   |32        /    1637   10*\/ 331                  22             |           /   32        /    1637   10*\/ 331                  22              
      /    |-- + 2*3 /   - ---- + ----------  - ----------------------------|  -       /    -- + 2*3 /   - ---- + ----------  - ---------------------------- 
     /     |3      \/       27        3                _____________________|         /     3      \/       27        3                _____________________ 
    /      |                                          /               _____ |        /                                                /               _____  
   /       |                                         /    1637   10*\/ 331  |       /                                                /    1637   10*\/ 331   
  /        |                                    9*3 /   - ---- + ---------- |      /                                            9*3 /   - ---- + ----------  
\/         |                                      \/       27        3      |    \/                                               \/       27        3

$$- \sqrt{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}} + \sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}\right|}$$

producto

/               _________________________________________________________________________________________________________________________________________________                                                                               \ /                                                                                                  _____________________________________________________________________________________________________________________________________________________\ /                                                                                                  _____________________________________________________________________________________________________________________________________________________\ /                                                                                                _________________________________________________________________________________________________________________________________________________\
|              /             _____________________                                                                                                                                                                                              | |                                                                                                 /               _____________________                                                                                                                 | |                                                                                                 /               _____________________                                                                                                                 | |                                                                                               /             _____________________                                                                                                               |
|             /             /               _____                                                                                                                                                                                               | |                                                                                                /               /               _____                                                                                                                  | |                                                                                                /               /               _____                                                                                                                  | |                                                                                              /             /               _____                                                                                                                |
|            /   64        /    1637   10*\/ 331                                          40                                                     22                                                                                             | |                                                                                               /     64        /    1637   10*\/ 331                                           40                                                      22              | |                                                                                               /     64        /    1637   10*\/ 331                                           40                                                      22              | |                                                                                             /   64        /    1637   10*\/ 331                                          40                                                     22              |
|           /    -- - 2*3 /   - ---- + ----------  + ---------------------------------------------------------------------------- + ----------------------------                                                                                | |                                                                                 I*           /    - -- + 2*3 /   - ---- + ----------  + ------------------------------------------------------------------------------ - ---------------------------- | |                                                                                 I*           /    - -- + 2*3 /   - ---- + ----------  + ------------------------------------------------------------------------------ - ---------------------------- | |                                                                                            /    -- - 2*3 /   - ---- + ----------  + ---------------------------------------------------------------------------- + ---------------------------- |
|          /     3      \/       27        3                   __________________________________________________________________          _____________________              __________________________________________________________________| |          ____________________________________________________________________               /       3      \/       27        3                   ____________________________________________________________________          _____________________ | |          ____________________________________________________________________               /       3      \/       27        3                   ____________________________________________________________________          _____________________ | |            __________________________________________________________________             /     3      \/       27        3                   __________________________________________________________________          _____________________ |
|         /                                                   /             _____________________                                         /               _____              /             _____________________                                | |         / |            _____________________                               |               /                                                     / |            _____________________                               |          /               _____  | |         / |            _____________________                               |               /                                                     / |            _____________________                               |          /               _____  | |           /             _____________________                                            /                                                   /             _____________________                                         /               _____  |
|        /                                                   /             /               _____                                         /    1637   10*\/ 331              /             /               _____                                 | |        /  |           /               _____                                |              /                                                     /  |           /               _____                                |         /    1637   10*\/ 331   | |        /  |           /               _____                                |              /                                                     /  |           /               _____                                |         /    1637   10*\/ 331   | |          /             /               _____                                            /                                                   /             /               _____                                         /    1637   10*\/ 331   |
|       /                                                   /   32        /    1637   10*\/ 331                  22                 9*3 /   - ---- + ----------            /   32        /    1637   10*\/ 331                  22              | |       /   |32        /    1637   10*\/ 331                  22             |             /                                                     /   |32        /    1637   10*\/ 331                  22             |    9*3 /   - ---- + ----------  | |       /   |32        /    1637   10*\/ 331                  22             |             /                                                     /   |32        /    1637   10*\/ 331                  22             |    9*3 /   - ---- + ----------  | |         /   32        /    1637   10*\/ 331                  22                        /                                                   /   32        /    1637   10*\/ 331                  22                 9*3 /   - ---- + ----------  |
|      /                                                   /    -- + 2*3 /   - ---- + ----------  - ----------------------------      \/       27        3                /    -- + 2*3 /   - ---- + ----------  - ---------------------------- | |      /    |-- + 2*3 /   - ---- + ----------  - ----------------------------|            /                                                     /    |-- + 2*3 /   - ---- + ----------  - ----------------------------|      \/       27        3       | |      /    |-- + 2*3 /   - ---- + ----------  - ----------------------------|            /                                                     /    |-- + 2*3 /   - ---- + ----------  - ----------------------------|      \/       27        3       | |        /    -- + 2*3 /   - ---- + ----------  - ----------------------------          /                                                   /    -- + 2*3 /   - ---- + ----------  - ----------------------------      \/       27        3       |
|     /                                                   /     3      \/       27        3                _____________________                                         /     3      \/       27        3                _____________________ | |     /     |3      \/       27        3                _____________________|           /                                                     /     |3      \/       27        3                _____________________|                                 | |     /     |3      \/       27        3                _____________________|           /                                                     /     |3      \/       27        3                _____________________|                                 | |       /     3      \/       27        3                _____________________         /                                                   /     3      \/       27        3                _____________________                                 |
|    /                                                   /                                                /               _____                                         /                                                /               _____  | |    /      |                                          /               _____ |          /                                                     /      |                                          /               _____ |                                 | |    /      |                                          /               _____ |          /                                                     /      |                                          /               _____ |                                 | |      /                                                /               _____         /                                                   /                                                /               _____                                  |
|   /                                                   /                                                /    1637   10*\/ 331                                         /                                                /    1637   10*\/ 331   | |   /       |                                         /    1637   10*\/ 331  |         /                                                     /       |                                         /    1637   10*\/ 331  |                                 | |   /       |                                         /    1637   10*\/ 331  |         /                                                     /       |                                         /    1637   10*\/ 331  |                                 | |     /                                                /    1637   10*\/ 331         /                                                   /                                                /    1637   10*\/ 331                                   |
|  /                                                   /                                            9*3 /   - ---- + ----------                                       /                                            9*3 /   - ---- + ----------  | |  /        |                                    9*3 /   - ---- + ---------- |        /                                                     /        |                                    9*3 /   - ---- + ---------- |                                 | |  /        |                                    9*3 /   - ---- + ---------- |        /                                                     /        |                                    9*3 /   - ---- + ---------- |                                 | |    /                                            9*3 /   - ---- + ----------       /                                                   /                                            9*3 /   - ---- + ----------                                  |
|\/                                                  \/                                               \/       27        3                                          \/                                               \/       27        3       | |\/         |                                      \/       27        3      |      \/                                                    \/         |                                      \/       27        3      |                                 | |\/         |                                      \/       27        3      |      \/                                                    \/         |                                      \/       27        3      |                                 | |  \/                                               \/       27        3          \/                                                  \/                                               \/       27        3                                       |
|---------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------|*|------------------------------------------------------------------------------ - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|------------------------------------------------------------------------------ + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|- ---------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------|
\                                                                               2                                                                                                                        2                                      / \                                      2                                                                                                                            2                                                                                   / \                                      2                                                                                                                            2                                                                                   / \                                       2                                                                                                                        2                                                                                /

$$\left(- \frac{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}}{2} + \frac{\sqrt{- 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + \frac{64}{3} + \frac{40}{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}}}}{2}\right) \left(\frac{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}\right|}}{2} - \frac{i \sqrt{- \frac{64}{3} - \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{40}{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}\right|}}}}{2}\right) \left(\frac{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}\right|}}{2} + \frac{i \sqrt{- \frac{64}{3} - \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{40}{\sqrt{\left|{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}\right|}}}}{2}\right) \left(- \frac{\sqrt{- 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + \frac{64}{3} + \frac{40}{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}}}}{2} - \frac{\sqrt{- \frac{22}{9 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}}} + 2 \sqrt[3]{- \frac{1637}{27} + \frac{10 \sqrt{331}}{3}} + \frac{32}{3}}}{2}\right)$$

-25

$$-25$$

-25

Respuesta numérica [src]

x1 = -4.63457658462957

x2 = 0.561441654160788 - 1.10492607167109*i

x3 = 3.51169327630799

x4 = 0.561441654160788 + 1.10492607167109*i

x4 = 0.561441654160788 + 1.10492607167109*i

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x*x*x*x-16x*x+20x-25=0 la ecuación

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