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2x-1/(x-5)-(3x+2)/x+4=(14x+11)/(x^2-x-20) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
        1     3*x + 2        14*x + 11 
2*x - ----- - ------- + 4 = -----------
      x - 5      x           2         
                            x  - x - 20
$$\left(\left(2 x - \frac{1}{x - 5}\right) - \frac{3 x + 2}{x}\right) + 4 = \frac{14 x + 11}{\left(x^{2} - x\right) - 20}$$
Gráfica
Respuesta rápida [src]
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                                                                                                            /   931        /  2621   I*\/ 929740449                   4225                                                           1521                                          
                                                                                                           /    --- - 2*3 /   ---- + ---------------  - -------------------------------- - --------------------------------------------------------------------------------------- 
                   __________________________________________________________________________             /      24     \/    432          192                  ________________________                __________________________________________________________________________ 
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                 /              /            ___________                                                /                                                     /  2621   I*\/ 929740449                /              /            ___________                                      
                /   931        /  2621   I*\/ 929740449                   4225                         /                                                72*3 /   ---- + ---------------              /   931        /  2621   I*\/ 929740449                   4225                
               /    --- + 2*3 /   ---- + ---------------  + --------------------------------          /                                                    \/    432          192          32*      /    --- + 2*3 /   ---- + ---------------  + --------------------------------  
              /      48     \/    432          192                  ________________________         /                                                                                             /      48     \/    432          192                  ________________________  
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            /                                                     /  2621   I*\/ 929740449         /                                                                                             /                                                     /  2621   I*\/ 929740449    
           /                                                72*3 /   ---- + ---------------       /                                                                                             /                                                72*3 /   ---- + ---------------   
     1   \/                                                    \/    432          192           \/                                                                                            \/                                                    \/    432          192         
x1 = - - ------------------------------------------------------------------------------------ - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     8                                            2                                                                                                                                      2                                                                                         
$$x_{1} = \frac{1}{8} - \frac{\sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}{2} - \frac{\sqrt{\frac{931}{24} - 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}} - \frac{1521}{32 \sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}} - \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}}{2}$$
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                     /   931        /  2621   I*\/ 929740449                   4225                                                           1521                                                                                                                                 
                    /    --- - 2*3 /   ---- + ---------------  - -------------------------------- - ---------------------------------------------------------------------------------------                                                                                        
                   /      24     \/    432          192                  ________________________                __________________________________________________________________________              __________________________________________________________________________
                  /                                                     /            ___________                /              ________________________                                                 /              ________________________                                    
                 /                                                     /  2621   I*\/ 929740449                /              /            ___________                                                 /              /            ___________                                     
                /                                                72*3 /   ---- + ---------------              /   931        /  2621   I*\/ 929740449                   4225                          /   931        /  2621   I*\/ 929740449                   4225               
               /                                                    \/    432          192          32*      /    --- + 2*3 /   ---- + ---------------  + --------------------------------           /    --- + 2*3 /   ---- + ---------------  + -------------------------------- 
              /                                                                                             /      48     \/    432          192                  ________________________          /      48     \/    432          192                  ________________________ 
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            /                                                                                             /                                                     /  2621   I*\/ 929740449          /                                                     /  2621   I*\/ 929740449   
           /                                                                                             /                                                72*3 /   ---- + ---------------        /                                                72*3 /   ---- + ---------------  
     1   \/                                                                                            \/                                                    \/    432          192            \/                                                    \/    432          192        
x2 = - + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------
     8                                                                                            2                                                                                                                                     2                                          
$$x_{2} = \frac{1}{8} - \frac{\sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}{2} + \frac{\sqrt{\frac{931}{24} - 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}} - \frac{1521}{32 \sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}} - \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}}{2}$$
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                                                                                                            /   931        /  2621   I*\/ 929740449                   4225                                                           1521                                          
                                                                                                           /    --- - 2*3 /   ---- + ---------------  - -------------------------------- + --------------------------------------------------------------------------------------- 
                   __________________________________________________________________________             /      24     \/    432          192                  ________________________                __________________________________________________________________________ 
                  /              ________________________                                                /                                                     /            ___________                /              ________________________                                     
                 /              /            ___________                                                /                                                     /  2621   I*\/ 929740449                /              /            ___________                                      
                /   931        /  2621   I*\/ 929740449                   4225                         /                                                72*3 /   ---- + ---------------              /   931        /  2621   I*\/ 929740449                   4225                
               /    --- + 2*3 /   ---- + ---------------  + --------------------------------          /                                                    \/    432          192          32*      /    --- + 2*3 /   ---- + ---------------  + --------------------------------  
              /      48     \/    432          192                  ________________________         /                                                                                             /      48     \/    432          192                  ________________________  
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            /                                                     /  2621   I*\/ 929740449         /                                                                                             /                                                     /  2621   I*\/ 929740449    
           /                                                72*3 /   ---- + ---------------       /                                                                                             /                                                72*3 /   ---- + ---------------   
     1   \/                                                    \/    432          192           \/                                                                                            \/                                                    \/    432          192         
x3 = - + ------------------------------------------------------------------------------------ - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     8                                            2                                                                                                                                      2                                                                                         
$$x_{3} = \frac{1}{8} - \frac{\sqrt{\frac{931}{24} - 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}} + \frac{1521}{32 \sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}} - \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}}{2} + \frac{\sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}{2}$$
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                                                                                                            /   931        /  2621   I*\/ 929740449                   4225                                                           1521                                          
                                                                                                           /    --- - 2*3 /   ---- + ---------------  - -------------------------------- + --------------------------------------------------------------------------------------- 
                   __________________________________________________________________________             /      24     \/    432          192                  ________________________                __________________________________________________________________________ 
                  /              ________________________                                                /                                                     /            ___________                /              ________________________                                     
                 /              /            ___________                                                /                                                     /  2621   I*\/ 929740449                /              /            ___________                                      
                /   931        /  2621   I*\/ 929740449                   4225                         /                                                72*3 /   ---- + ---------------              /   931        /  2621   I*\/ 929740449                   4225                
               /    --- + 2*3 /   ---- + ---------------  + --------------------------------          /                                                    \/    432          192          32*      /    --- + 2*3 /   ---- + ---------------  + --------------------------------  
              /      48     \/    432          192                  ________________________         /                                                                                             /      48     \/    432          192                  ________________________  
             /                                                     /            ___________         /                                                                                             /                                                     /            ___________   
            /                                                     /  2621   I*\/ 929740449         /                                                                                             /                                                     /  2621   I*\/ 929740449    
           /                                                72*3 /   ---- + ---------------       /                                                                                             /                                                72*3 /   ---- + ---------------   
     1   \/                                                    \/    432          192           \/                                                                                            \/                                                    \/    432          192         
x4 = - + ------------------------------------------------------------------------------------ + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     8                                            2                                                                                                                                      2                                                                                         
$$x_{4} = \frac{1}{8} + \frac{\sqrt{\frac{931}{24} - 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}} + \frac{1521}{32 \sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}} - \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}}{2} + \frac{\sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}{2}$$
x4 = 1/8 + sqrt(931/24 - 2*(2621/432 + sqrt(929740449)*i/192)^(1/3) + 1521/(32*sqrt(931/48 + 4225/(72*(2621/432 + sqrt(929740449)*i/192)^(1/3)) + 2*(2621/432 + sqrt(929740449)*i/192)^(1/3))) - 4225/(72*(2621/432 + sqrt(929740449)*i/192)^(1/3)))/2 + sqrt(931/48 + 4225/(72*(2621/432 + sqrt(929740449)*i/192)^(1/3)) + 2*(2621/432 + sqrt(929740449)*i/192)^(1/3))/2
Suma y producto de raíces [src]
suma
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                                                                                                       /   931        /  2621   I*\/ 929740449                   4225                                                           1521                                                             /   931        /  2621   I*\/ 929740449                   4225                                                           1521                                                                                                                                                                                                                                           /   931        /  2621   I*\/ 929740449                   4225                                                           1521                                                                                                                                                    /   931        /  2621   I*\/ 929740449                   4225                                                           1521                                          
                                                                                                      /    --- - 2*3 /   ---- + ---------------  - -------------------------------- - ---------------------------------------------------------------------------------------                   /    --- - 2*3 /   ---- + ---------------  - -------------------------------- - ---------------------------------------------------------------------------------------                                                                                                                                                                                                 /    --- - 2*3 /   ---- + ---------------  - -------------------------------- + ---------------------------------------------------------------------------------------                                                                                                          /    --- - 2*3 /   ---- + ---------------  - -------------------------------- + --------------------------------------------------------------------------------------- 
              __________________________________________________________________________             /      24     \/    432          192                  ________________________                __________________________________________________________________________                  /      24     \/    432          192                  ________________________                __________________________________________________________________________              __________________________________________________________________________                 __________________________________________________________________________             /      24     \/    432          192                  ________________________                __________________________________________________________________________                  __________________________________________________________________________             /      24     \/    432          192                  ________________________                __________________________________________________________________________ 
             /              ________________________                                                /                                                     /            ___________                /              ________________________                                                     /                                                     /            ___________                /              ________________________                                                 /              ________________________                                                    /              ________________________                                                /                                                     /            ___________                /              ________________________                                                     /              ________________________                                                /                                                     /            ___________                /              ________________________                                     
            /              /            ___________                                                /                                                     /  2621   I*\/ 929740449                /              /            ___________                                                     /                                                     /  2621   I*\/ 929740449                /              /            ___________                                                 /              /            ___________                                                    /              /            ___________                                                /                                                     /  2621   I*\/ 929740449                /              /            ___________                                                     /              /            ___________                                                /                                                     /  2621   I*\/ 929740449                /              /            ___________                                      
           /   931        /  2621   I*\/ 929740449                   4225                         /                                                72*3 /   ---- + ---------------              /   931        /  2621   I*\/ 929740449                   4225                              /                                                72*3 /   ---- + ---------------              /   931        /  2621   I*\/ 929740449                   4225                          /   931        /  2621   I*\/ 929740449                   4225                             /   931        /  2621   I*\/ 929740449                   4225                         /                                                72*3 /   ---- + ---------------              /   931        /  2621   I*\/ 929740449                   4225                              /   931        /  2621   I*\/ 929740449                   4225                         /                                                72*3 /   ---- + ---------------              /   931        /  2621   I*\/ 929740449                   4225                
          /    --- + 2*3 /   ---- + ---------------  + --------------------------------          /                                                    \/    432          192          32*      /    --- + 2*3 /   ---- + ---------------  + --------------------------------               /                                                    \/    432          192          32*      /    --- + 2*3 /   ---- + ---------------  + --------------------------------           /    --- + 2*3 /   ---- + ---------------  + --------------------------------              /    --- + 2*3 /   ---- + ---------------  + --------------------------------          /                                                    \/    432          192          32*      /    --- + 2*3 /   ---- + ---------------  + --------------------------------               /    --- + 2*3 /   ---- + ---------------  + --------------------------------          /                                                    \/    432          192          32*      /    --- + 2*3 /   ---- + ---------------  + --------------------------------  
         /      48     \/    432          192                  ________________________         /                                                                                             /      48     \/    432          192                  ________________________              /                                                                                             /      48     \/    432          192                  ________________________          /      48     \/    432          192                  ________________________             /      48     \/    432          192                  ________________________         /                                                                                             /      48     \/    432          192                  ________________________              /      48     \/    432          192                  ________________________         /                                                                                             /      48     \/    432          192                  ________________________  
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       /                                                     /  2621   I*\/ 929740449         /                                                                                             /                                                     /  2621   I*\/ 929740449              /                                                                                             /                                                     /  2621   I*\/ 929740449          /                                                     /  2621   I*\/ 929740449             /                                                     /  2621   I*\/ 929740449         /                                                                                             /                                                     /  2621   I*\/ 929740449              /                                                     /  2621   I*\/ 929740449         /                                                                                             /                                                     /  2621   I*\/ 929740449    
      /                                                72*3 /   ---- + ---------------       /                                                                                             /                                                72*3 /   ---- + ---------------            /                                                                                             /                                                72*3 /   ---- + ---------------        /                                                72*3 /   ---- + ---------------           /                                                72*3 /   ---- + ---------------       /                                                                                             /                                                72*3 /   ---- + ---------------            /                                                72*3 /   ---- + ---------------       /                                                                                             /                                                72*3 /   ---- + ---------------   
1   \/                                                    \/    432          192           \/                                                                                            \/                                                    \/    432          192            1   \/                                                                                            \/                                                    \/    432          192            \/                                                    \/    432          192           1   \/                                                    \/    432          192           \/                                                                                            \/                                                    \/    432          192            1   \/                                                    \/    432          192           \/                                                                                            \/                                                    \/    432          192         
- - ------------------------------------------------------------------------------------ - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------ + - + ------------------------------------------------------------------------------------ - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + - + ------------------------------------------------------------------------------------ + -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
8                                            2                                                                                                                                      2                                                                                            8                                                                                            2                                                                                                                                     2                                             8                                            2                                                                                                                                      2                                                                                            8                                            2                                                                                                                                      2                                                                                         
$$\left(\frac{1}{8} + \frac{\sqrt{\frac{931}{24} - 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}} + \frac{1521}{32 \sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}} - \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}}{2} + \frac{\sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}{2}\right) + \left(\left(\left(\frac{1}{8} - \frac{\sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}{2} + \frac{\sqrt{\frac{931}{24} - 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}} - \frac{1521}{32 \sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}} - \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}}{2}\right) + \left(\frac{1}{8} - \frac{\sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}{2} - \frac{\sqrt{\frac{931}{24} - 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}} - \frac{1521}{32 \sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}} - \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}}{2}\right)\right) + \left(\frac{1}{8} - \frac{\sqrt{\frac{931}{24} - 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}} + \frac{1521}{32 \sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}} - \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}}{2} + \frac{\sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}{2}\right)\right)$$
=
1/2
$$\frac{1}{2}$$
producto
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|                                                                                                       /   931        /  2621   I*\/ 929740449                   4225                                                           1521                                          | |                /   931        /  2621   I*\/ 929740449                   4225                                                           1521                                                                                                                                 | |                                                                                                       /   931        /  2621   I*\/ 929740449                   4225                                                           1521                                          | |                                                                                                       /   931        /  2621   I*\/ 929740449                   4225                                                           1521                                          |
|                                                                                                      /    --- - 2*3 /   ---- + ---------------  - -------------------------------- - --------------------------------------------------------------------------------------- | |               /    --- - 2*3 /   ---- + ---------------  - -------------------------------- - ---------------------------------------------------------------------------------------                                                                                        | |                                                                                                      /    --- - 2*3 /   ---- + ---------------  - -------------------------------- + --------------------------------------------------------------------------------------- | |                                                                                                      /    --- - 2*3 /   ---- + ---------------  - -------------------------------- + --------------------------------------------------------------------------------------- |
|              __________________________________________________________________________             /      24     \/    432          192                  ________________________                __________________________________________________________________________ | |              /      24     \/    432          192                  ________________________                __________________________________________________________________________              __________________________________________________________________________| |              __________________________________________________________________________             /      24     \/    432          192                  ________________________                __________________________________________________________________________ | |              __________________________________________________________________________             /      24     \/    432          192                  ________________________                __________________________________________________________________________ |
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|            /              /            ___________                                                /                                                     /  2621   I*\/ 929740449                /              /            ___________                                      | |            /                                                     /  2621   I*\/ 929740449                /              /            ___________                                                 /              /            ___________                                     | |            /              /            ___________                                                /                                                     /  2621   I*\/ 929740449                /              /            ___________                                      | |            /              /            ___________                                                /                                                     /  2621   I*\/ 929740449                /              /            ___________                                      |
|           /   931        /  2621   I*\/ 929740449                   4225                         /                                                72*3 /   ---- + ---------------              /   931        /  2621   I*\/ 929740449                   4225                | |           /                                                72*3 /   ---- + ---------------              /   931        /  2621   I*\/ 929740449                   4225                          /   931        /  2621   I*\/ 929740449                   4225               | |           /   931        /  2621   I*\/ 929740449                   4225                         /                                                72*3 /   ---- + ---------------              /   931        /  2621   I*\/ 929740449                   4225                | |           /   931        /  2621   I*\/ 929740449                   4225                         /                                                72*3 /   ---- + ---------------              /   931        /  2621   I*\/ 929740449                   4225                |
|          /    --- + 2*3 /   ---- + ---------------  + --------------------------------          /                                                    \/    432          192          32*      /    --- + 2*3 /   ---- + ---------------  + --------------------------------  | |          /                                                    \/    432          192          32*      /    --- + 2*3 /   ---- + ---------------  + --------------------------------           /    --- + 2*3 /   ---- + ---------------  + -------------------------------- | |          /    --- + 2*3 /   ---- + ---------------  + --------------------------------          /                                                    \/    432          192          32*      /    --- + 2*3 /   ---- + ---------------  + --------------------------------  | |          /    --- + 2*3 /   ---- + ---------------  + --------------------------------          /                                                    \/    432          192          32*      /    --- + 2*3 /   ---- + ---------------  + --------------------------------  |
|         /      48     \/    432          192                  ________________________         /                                                                                             /      48     \/    432          192                  ________________________  | |         /                                                                                             /      48     \/    432          192                  ________________________          /      48     \/    432          192                  ________________________ | |         /      48     \/    432          192                  ________________________         /                                                                                             /      48     \/    432          192                  ________________________  | |         /      48     \/    432          192                  ________________________         /                                                                                             /      48     \/    432          192                  ________________________  |
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|       /                                                     /  2621   I*\/ 929740449         /                                                                                             /                                                     /  2621   I*\/ 929740449    | |       /                                                                                             /                                                     /  2621   I*\/ 929740449          /                                                     /  2621   I*\/ 929740449   | |       /                                                     /  2621   I*\/ 929740449         /                                                                                             /                                                     /  2621   I*\/ 929740449    | |       /                                                     /  2621   I*\/ 929740449         /                                                                                             /                                                     /  2621   I*\/ 929740449    |
|      /                                                72*3 /   ---- + ---------------       /                                                                                             /                                                72*3 /   ---- + ---------------   | |      /                                                                                             /                                                72*3 /   ---- + ---------------        /                                                72*3 /   ---- + ---------------  | |      /                                                72*3 /   ---- + ---------------       /                                                                                             /                                                72*3 /   ---- + ---------------   | |      /                                                72*3 /   ---- + ---------------       /                                                                                             /                                                72*3 /   ---- + ---------------   |
|1   \/                                                    \/    432          192           \/                                                                                            \/                                                    \/    432          192         | |1   \/                                                                                            \/                                                    \/    432          192            \/                                                    \/    432          192        | |1   \/                                                    \/    432          192           \/                                                                                            \/                                                    \/    432          192         | |1   \/                                                    \/    432          192           \/                                                                                            \/                                                    \/    432          192         |
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\8                                            2                                                                                                                                      2                                                                                         / \8                                                                                            2                                                                                                                                     2                                          / \8                                            2                                                                                                                                      2                                                                                         / \8                                            2                                                                                                                                      2                                                                                         /
$$\left(\frac{1}{8} - \frac{\sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}{2} - \frac{\sqrt{\frac{931}{24} - 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}} - \frac{1521}{32 \sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}} - \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}}{2}\right) \left(\frac{1}{8} - \frac{\sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}{2} + \frac{\sqrt{\frac{931}{24} - 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}} - \frac{1521}{32 \sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}} - \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}}{2}\right) \left(\frac{1}{8} - \frac{\sqrt{\frac{931}{24} - 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}} + \frac{1521}{32 \sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}} - \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}}{2} + \frac{\sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}{2}\right) \left(\frac{1}{8} + \frac{\sqrt{\frac{931}{24} - 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}} + \frac{1521}{32 \sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}} - \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}}{2} + \frac{\sqrt{\frac{931}{48} + \frac{4225}{72 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}} + 2 \sqrt[3]{\frac{2621}{432} + \frac{\sqrt{929740449} i}{192}}}}{2}\right)$$
=
20
$$20$$
20
Respuesta numérica [src]
x1 = 5.84465041589639
x2 = -1.22200128529456
x3 = 0.593732538385792
x4 = -4.71638166898763
x4 = -4.71638166898763