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(x^2-5+2)*(x^2-5x-2)=10 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
/ 2        \ / 2          \     
\x  - 5 + 2/*\x  - 5*x - 2/ = 10
$$\left(\left(x^{2} - 5\right) + 2\right) \left(\left(x^{2} - 5 x\right) - 2\right) = 10$$
Gráfica
Respuesta rápida [src]
                                                                                                        _____________________________________________________________________________________________________________________________________________________
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                                                                                                     /   115        /    845   I*\/ 10327                                           105                                                     101              
                                                                                                    /    --- - 2*3 /   - --- + -----------  - ------------------------------------------------------------------------------- - ---------------------------- 
                   ___________________________________________________________________             /      6      \/      216        8                     ___________________________________________________________________          _____________________ 
                  /              _____________________                                            /                                                      /              _____________________                                         /             _______  
                 /              /             _______                                            /                                                      /              /             _______                                         /    845   I*\/ 10327   
                /   115        /    845   I*\/ 10327                 101                        /                                                      /   115        /    845   I*\/ 10327                 101                 9*3 /   - --- + -----------  
               /    --- + 2*3 /   - --- + -----------  + ----------------------------          /                                              4*      /    --- + 2*3 /   - --- + -----------  + ----------------------------      \/      216        8       
              /      12     \/      216        8                _____________________         /                                                      /      12     \/      216        8                _____________________                                 
             /                                                 /             _______         /                                                      /                                                 /             _______                                  
            /                                                 /    845   I*\/ 10327         /                                                      /                                                 /    845   I*\/ 10327                                   
           /                                             9*3 /   - --- + -----------       /                                                      /                                             9*3 /   - --- + -----------                                  
     5   \/                                                \/      216        8          \/                                                     \/                                                \/      216        8                                       
x1 = - - ----------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------
     4                                         2                                                                                                                          2                                                                                  
$$x_{1} = \frac{5}{4} - \frac{\sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}{2} - \frac{\sqrt{\frac{115}{6} - 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}} - \frac{105}{4 \sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}} - \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}}{2}$$
                        _____________________________________________________________________________________________________________________________________________________                                                                                
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                     /   115        /    845   I*\/ 10327                                           105                                                     101                                                                                              
                    /    --- - 2*3 /   - --- + -----------  - ------------------------------------------------------------------------------- - ----------------------------                                                                                 
                   /      6      \/      216        8                     ___________________________________________________________________          _____________________              ___________________________________________________________________
                  /                                                      /              _____________________                                         /             _______              /              _____________________                                
                 /                                                      /              /             _______                                         /    845   I*\/ 10327              /              /             _______                                 
                /                                                      /   115        /    845   I*\/ 10327                 101                 9*3 /   - --- + -----------            /   115        /    845   I*\/ 10327                 101              
               /                                              4*      /    --- + 2*3 /   - --- + -----------  + ----------------------------      \/      216        8                /    --- + 2*3 /   - --- + -----------  + ---------------------------- 
              /                                                      /      12     \/      216        8                _____________________                                         /      12     \/      216        8                _____________________ 
             /                                                      /                                                 /             _______                                         /                                                 /             _______  
            /                                                      /                                                 /    845   I*\/ 10327                                         /                                                 /    845   I*\/ 10327   
           /                                                      /                                             9*3 /   - --- + -----------                                       /                                             9*3 /   - --- + -----------  
     5   \/                                                     \/                                                \/      216        8                                          \/                                                \/      216        8       
x2 = - + -------------------------------------------------------------------------------------------------------------------------------------------------------------------- - -----------------------------------------------------------------------------
     4                                                                                    2                                                                                                                           2                                      
$$x_{2} = \frac{5}{4} + \frac{\sqrt{\frac{115}{6} - 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}} - \frac{105}{4 \sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}} - \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}}{2} - \frac{\sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}{2}$$
                                                                                                        _____________________________________________________________________________________________________________________________________________________
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                                                                                                     /   115        /    845   I*\/ 10327                 101                                                      105                                       
                                                                                                    /    --- - 2*3 /   - --- + -----------  - ---------------------------- + ------------------------------------------------------------------------------- 
                   ___________________________________________________________________             /      6      \/      216        8                _____________________               ___________________________________________________________________ 
                  /              _____________________                                            /                                                 /             _______               /              _____________________                                 
                 /              /             _______                                            /                                                 /    845   I*\/ 10327               /              /             _______                                  
                /   115        /    845   I*\/ 10327                 101                        /                                             9*3 /   - --- + -----------             /   115        /    845   I*\/ 10327                 101               
               /    --- + 2*3 /   - --- + -----------  + ----------------------------          /                                                \/      216        8         4*      /    --- + 2*3 /   - --- + -----------  + ----------------------------  
              /      12     \/      216        8                _____________________         /                                                                                     /      12     \/      216        8                _____________________  
             /                                                 /             _______         /                                                                                     /                                                 /             _______   
            /                                                 /    845   I*\/ 10327         /                                                                                     /                                                 /    845   I*\/ 10327    
           /                                             9*3 /   - --- + -----------       /                                                                                     /                                             9*3 /   - --- + -----------   
     5   \/                                                \/      216        8          \/                                                                                    \/                                                \/      216        8        
x3 = - + ----------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------
     4                                         2                                                                                                                          2                                                                                  
$$x_{3} = \frac{5}{4} - \frac{\sqrt{\frac{115}{6} - 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}} + \frac{105}{4 \sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}} - \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}}{2} + \frac{\sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}{2}$$
                                                                                                        _____________________________________________________________________________________________________________________________________________________
                                                                                                       /              _____________________                                                                                                                  
                                                                                                      /              /             _______                                                                                                                   
                                                                                                     /   115        /    845   I*\/ 10327                 101                                                      105                                       
                                                                                                    /    --- - 2*3 /   - --- + -----------  - ---------------------------- + ------------------------------------------------------------------------------- 
                   ___________________________________________________________________             /      6      \/      216        8                _____________________               ___________________________________________________________________ 
                  /              _____________________                                            /                                                 /             _______               /              _____________________                                 
                 /              /             _______                                            /                                                 /    845   I*\/ 10327               /              /             _______                                  
                /   115        /    845   I*\/ 10327                 101                        /                                             9*3 /   - --- + -----------             /   115        /    845   I*\/ 10327                 101               
               /    --- + 2*3 /   - --- + -----------  + ----------------------------          /                                                \/      216        8         4*      /    --- + 2*3 /   - --- + -----------  + ----------------------------  
              /      12     \/      216        8                _____________________         /                                                                                     /      12     \/      216        8                _____________________  
             /                                                 /             _______         /                                                                                     /                                                 /             _______   
            /                                                 /    845   I*\/ 10327         /                                                                                     /                                                 /    845   I*\/ 10327    
           /                                             9*3 /   - --- + -----------       /                                                                                     /                                             9*3 /   - --- + -----------   
     5   \/                                                \/      216        8          \/                                                                                    \/                                                \/      216        8        
x4 = - + ----------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------
     4                                         2                                                                                                                          2                                                                                  
$$x_{4} = \frac{5}{4} + \frac{\sqrt{\frac{115}{6} - 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}} + \frac{105}{4 \sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}} - \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}}{2} + \frac{\sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}{2}$$
x4 = 5/4 + sqrt(115/6 - 2*(-845/216 + sqrt(10327)*i/8)^(1/3) + 105/(4*sqrt(115/12 + 101/(9*(-845/216 + sqrt(10327)*i/8)^(1/3)) + 2*(-845/216 + sqrt(10327)*i/8)^(1/3))) - 101/(9*(-845/216 + sqrt(10327)*i/8)^(1/3)))/2 + sqrt(115/12 + 101/(9*(-845/216 + sqrt(10327)*i/8)^(1/3)) + 2*(-845/216 + sqrt(10327)*i/8)^(1/3))/2
Suma y producto de raíces [src]
suma
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                                                                                                  /              _____________________                                                                                                                                       /              _____________________                                                                                                                                                                                                                                                                                                       /              _____________________                                                                                                                                                                                                                       /              _____________________                                                                                                                  
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                                                                                                /   115        /    845   I*\/ 10327                                           105                                                     101                                 /   115        /    845   I*\/ 10327                                           105                                                     101                                                                                                                                                                                                 /   115        /    845   I*\/ 10327                 101                                                      105                                                                                                                                          /   115        /    845   I*\/ 10327                 101                                                      105                                       
                                                                                               /    --- - 2*3 /   - --- + -----------  - ------------------------------------------------------------------------------- - ----------------------------                   /    --- - 2*3 /   - --- + -----------  - ------------------------------------------------------------------------------- - ----------------------------                                                                                                                                                                                   /    --- - 2*3 /   - --- + -----------  - ---------------------------- + -------------------------------------------------------------------------------                                                                                                   /    --- - 2*3 /   - --- + -----------  - ---------------------------- + ------------------------------------------------------------------------------- 
              ___________________________________________________________________             /      6      \/      216        8                     ___________________________________________________________________          _____________________                  /      6      \/      216        8                     ___________________________________________________________________          _____________________              ___________________________________________________________________                 ___________________________________________________________________             /      6      \/      216        8                _____________________               ___________________________________________________________________                  ___________________________________________________________________             /      6      \/      216        8                _____________________               ___________________________________________________________________ 
             /              _____________________                                            /                                                      /              _____________________                                         /             _______                  /                                                      /              _____________________                                         /             _______              /              _____________________                                                /              _____________________                                            /                                                 /             _______               /              _____________________                                                 /              _____________________                                            /                                                 /             _______               /              _____________________                                 
            /              /             _______                                            /                                                      /              /             _______                                         /    845   I*\/ 10327                  /                                                      /              /             _______                                         /    845   I*\/ 10327              /              /             _______                                                /              /             _______                                            /                                                 /    845   I*\/ 10327               /              /             _______                                                 /              /             _______                                            /                                                 /    845   I*\/ 10327               /              /             _______                                  
           /   115        /    845   I*\/ 10327                 101                        /                                                      /   115        /    845   I*\/ 10327                 101                 9*3 /   - --- + -----------                /                                                      /   115        /    845   I*\/ 10327                 101                 9*3 /   - --- + -----------            /   115        /    845   I*\/ 10327                 101                            /   115        /    845   I*\/ 10327                 101                        /                                             9*3 /   - --- + -----------             /   115        /    845   I*\/ 10327                 101                             /   115        /    845   I*\/ 10327                 101                        /                                             9*3 /   - --- + -----------             /   115        /    845   I*\/ 10327                 101               
          /    --- + 2*3 /   - --- + -----------  + ----------------------------          /                                              4*      /    --- + 2*3 /   - --- + -----------  + ----------------------------      \/      216        8                    /                                              4*      /    --- + 2*3 /   - --- + -----------  + ----------------------------      \/      216        8                /    --- + 2*3 /   - --- + -----------  + ----------------------------              /    --- + 2*3 /   - --- + -----------  + ----------------------------          /                                                \/      216        8         4*      /    --- + 2*3 /   - --- + -----------  + ----------------------------               /    --- + 2*3 /   - --- + -----------  + ----------------------------          /                                                \/      216        8         4*      /    --- + 2*3 /   - --- + -----------  + ----------------------------  
         /      12     \/      216        8                _____________________         /                                                      /      12     \/      216        8                _____________________                                             /                                                      /      12     \/      216        8                _____________________                                         /      12     \/      216        8                _____________________             /      12     \/      216        8                _____________________         /                                                                                     /      12     \/      216        8                _____________________              /      12     \/      216        8                _____________________         /                                                                                     /      12     \/      216        8                _____________________  
        /                                                 /             _______         /                                                      /                                                 /             _______                                             /                                                      /                                                 /             _______                                         /                                                 /             _______             /                                                 /             _______         /                                                                                     /                                                 /             _______              /                                                 /             _______         /                                                                                     /                                                 /             _______   
       /                                                 /    845   I*\/ 10327         /                                                      /                                                 /    845   I*\/ 10327                                             /                                                      /                                                 /    845   I*\/ 10327                                         /                                                 /    845   I*\/ 10327             /                                                 /    845   I*\/ 10327         /                                                                                     /                                                 /    845   I*\/ 10327              /                                                 /    845   I*\/ 10327         /                                                                                     /                                                 /    845   I*\/ 10327    
      /                                             9*3 /   - --- + -----------       /                                                      /                                             9*3 /   - --- + -----------                                           /                                                      /                                             9*3 /   - --- + -----------                                       /                                             9*3 /   - --- + -----------           /                                             9*3 /   - --- + -----------       /                                                                                     /                                             9*3 /   - --- + -----------            /                                             9*3 /   - --- + -----------       /                                                                                     /                                             9*3 /   - --- + -----------   
5   \/                                                \/      216        8          \/                                                     \/                                                \/      216        8                                          5   \/                                                     \/                                                \/      216        8                                          \/                                                \/      216        8          5   \/                                                \/      216        8          \/                                                                                    \/                                                \/      216        8           5   \/                                                \/      216        8          \/                                                                                    \/                                                \/      216        8        
- - ----------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + -------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------- + - + ----------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ----------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------
4                                         2                                                                                                                          2                                                                                     4                                                                                    2                                                                                                                           2                                         4                                         2                                                                                                                          2                                                                                     4                                         2                                                                                                                          2                                                                                  
$$\left(\left(\left(\frac{5}{4} + \frac{\sqrt{\frac{115}{6} - 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}} - \frac{105}{4 \sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}} - \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}}{2} - \frac{\sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}{2}\right) + \left(\frac{5}{4} - \frac{\sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}{2} - \frac{\sqrt{\frac{115}{6} - 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}} - \frac{105}{4 \sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}} - \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}}{2}\right)\right) + \left(\frac{5}{4} - \frac{\sqrt{\frac{115}{6} - 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}} + \frac{105}{4 \sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}} - \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}}{2} + \frac{\sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}{2}\right)\right) + \left(\frac{5}{4} + \frac{\sqrt{\frac{115}{6} - 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}} + \frac{105}{4 \sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}} - \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}}{2} + \frac{\sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}{2}\right)$$
=
5
$$5$$
producto
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|                                                                                                 /              /             _______                                                                                                                   | |                 /              /             _______                                                                                                                                                                                                   | |                                                                                                 /              /             _______                                                                                                                   | |                                                                                                 /              /             _______                                                                                                                   |
|                                                                                                /   115        /    845   I*\/ 10327                                           105                                                     101              | |                /   115        /    845   I*\/ 10327                                           105                                                     101                                                                                              | |                                                                                                /   115        /    845   I*\/ 10327                 101                                                      105                                       | |                                                                                                /   115        /    845   I*\/ 10327                 101                                                      105                                       |
|                                                                                               /    --- - 2*3 /   - --- + -----------  - ------------------------------------------------------------------------------- - ---------------------------- | |               /    --- - 2*3 /   - --- + -----------  - ------------------------------------------------------------------------------- - ----------------------------                                                                                 | |                                                                                               /    --- - 2*3 /   - --- + -----------  - ---------------------------- + ------------------------------------------------------------------------------- | |                                                                                               /    --- - 2*3 /   - --- + -----------  - ---------------------------- + ------------------------------------------------------------------------------- |
|              ___________________________________________________________________             /      6      \/      216        8                     ___________________________________________________________________          _____________________ | |              /      6      \/      216        8                     ___________________________________________________________________          _____________________              ___________________________________________________________________| |              ___________________________________________________________________             /      6      \/      216        8                _____________________               ___________________________________________________________________ | |              ___________________________________________________________________             /      6      \/      216        8                _____________________               ___________________________________________________________________ |
|             /              _____________________                                            /                                                      /              _____________________                                         /             _______  | |             /                                                      /              _____________________                                         /             _______              /              _____________________                                | |             /              _____________________                                            /                                                 /             _______               /              _____________________                                 | |             /              _____________________                                            /                                                 /             _______               /              _____________________                                 |
|            /              /             _______                                            /                                                      /              /             _______                                         /    845   I*\/ 10327   | |            /                                                      /              /             _______                                         /    845   I*\/ 10327              /              /             _______                                 | |            /              /             _______                                            /                                                 /    845   I*\/ 10327               /              /             _______                                  | |            /              /             _______                                            /                                                 /    845   I*\/ 10327               /              /             _______                                  |
|           /   115        /    845   I*\/ 10327                 101                        /                                                      /   115        /    845   I*\/ 10327                 101                 9*3 /   - --- + -----------  | |           /                                                      /   115        /    845   I*\/ 10327                 101                 9*3 /   - --- + -----------            /   115        /    845   I*\/ 10327                 101              | |           /   115        /    845   I*\/ 10327                 101                        /                                             9*3 /   - --- + -----------             /   115        /    845   I*\/ 10327                 101               | |           /   115        /    845   I*\/ 10327                 101                        /                                             9*3 /   - --- + -----------             /   115        /    845   I*\/ 10327                 101               |
|          /    --- + 2*3 /   - --- + -----------  + ----------------------------          /                                              4*      /    --- + 2*3 /   - --- + -----------  + ----------------------------      \/      216        8       | |          /                                              4*      /    --- + 2*3 /   - --- + -----------  + ----------------------------      \/      216        8                /    --- + 2*3 /   - --- + -----------  + ---------------------------- | |          /    --- + 2*3 /   - --- + -----------  + ----------------------------          /                                                \/      216        8         4*      /    --- + 2*3 /   - --- + -----------  + ----------------------------  | |          /    --- + 2*3 /   - --- + -----------  + ----------------------------          /                                                \/      216        8         4*      /    --- + 2*3 /   - --- + -----------  + ----------------------------  |
|         /      12     \/      216        8                _____________________         /                                                      /      12     \/      216        8                _____________________                                 | |         /                                                      /      12     \/      216        8                _____________________                                         /      12     \/      216        8                _____________________ | |         /      12     \/      216        8                _____________________         /                                                                                     /      12     \/      216        8                _____________________  | |         /      12     \/      216        8                _____________________         /                                                                                     /      12     \/      216        8                _____________________  |
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|       /                                                 /    845   I*\/ 10327         /                                                      /                                                 /    845   I*\/ 10327                                   | |       /                                                      /                                                 /    845   I*\/ 10327                                         /                                                 /    845   I*\/ 10327   | |       /                                                 /    845   I*\/ 10327         /                                                                                     /                                                 /    845   I*\/ 10327    | |       /                                                 /    845   I*\/ 10327         /                                                                                     /                                                 /    845   I*\/ 10327    |
|      /                                             9*3 /   - --- + -----------       /                                                      /                                             9*3 /   - --- + -----------                                  | |      /                                                      /                                             9*3 /   - --- + -----------                                       /                                             9*3 /   - --- + -----------  | |      /                                             9*3 /   - --- + -----------       /                                                                                     /                                             9*3 /   - --- + -----------   | |      /                                             9*3 /   - --- + -----------       /                                                                                     /                                             9*3 /   - --- + -----------   |
|5   \/                                                \/      216        8          \/                                                     \/                                                \/      216        8                                       | |5   \/                                                     \/                                                \/      216        8                                          \/                                                \/      216        8       | |5   \/                                                \/      216        8          \/                                                                                    \/                                                \/      216        8        | |5   \/                                                \/      216        8          \/                                                                                    \/                                                \/      216        8        |
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\4                                         2                                                                                                                          2                                                                                  / \4                                                                                    2                                                                                                                           2                                      / \4                                         2                                                                                                                          2                                                                                  / \4                                         2                                                                                                                          2                                                                                  /
$$\left(\frac{5}{4} - \frac{\sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}{2} - \frac{\sqrt{\frac{115}{6} - 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}} - \frac{105}{4 \sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}} - \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}}{2}\right) \left(\frac{5}{4} + \frac{\sqrt{\frac{115}{6} - 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}} - \frac{105}{4 \sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}} - \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}}{2} - \frac{\sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}{2}\right) \left(\frac{5}{4} - \frac{\sqrt{\frac{115}{6} - 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}} + \frac{105}{4 \sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}} - \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}}{2} + \frac{\sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}{2}\right) \left(\frac{5}{4} + \frac{\sqrt{\frac{115}{6} - 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}} + \frac{105}{4 \sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}} - \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}}{2} + \frac{\sqrt{\frac{115}{12} + \frac{101}{9 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}} + 2 \sqrt[3]{- \frac{845}{216} + \frac{\sqrt{10327} i}{8}}}}{2}\right)$$
=
-4
$$-4$$
-4
Respuesta numérica [src]
x1 = 0.307191372418399
x2 = 1.21951814684481
x3 = -1.963796325745
x4 = 5.43708680648179
x4 = 5.43708680648179