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La ecuación:
Ecuación 2*x^2+3=11
Ecuación e^(2*y)+y^x=y
Ecuación x^3-(9/50)*x^2+0.0108*x-0.00754=0
Ecuación 3×(6+a)=45
Expresar {x} en función de y en la ecuación:
-8*x-6*y=-20
-20*x+1*y=12
-6*x-8*y=18
-11*x-18*y=18
Expresiones idénticas
cero , cuarenta y siete = tres (x/ dieciocho , setenta y cinco)^ cuatro - ocho (x/ dieciocho , setenta y cinco)^ tres + seis (x/ dieciocho , setenta y cinco)^ dos
0,47 es igual a 3(x dividir por 18,75) en el grado 4 menos 8(x dividir por 18,75) al cubo más 6(x dividir por 18,75) al cuadrado
cero , cuarenta y siete es igual a tres (x dividir por dieciocho , setenta y cinco) en el grado cuatro menos ocho (x dividir por dieciocho , setenta y cinco) en el grado tres más seis (x dividir por dieciocho , setenta y cinco) en el grado dos
0,47=3(x/18,75)4-8(x/18,75)3+6(x/18,75)2
0,47=3x/18,754-8x/18,753+6x/18,752
0,47=3(x/18,75)⁴-8(x/18,75)³+6(x/18,75)²
0,47=3(x/18,75) en el grado 4-8(x/18,75) en el grado 3+6(x/18,75) en el grado 2
0,47=3x/18,75^4-8x/18,75^3+6x/18,75^2
0,47=3(x dividir por 18,75)^4-8(x dividir por 18,75)^3+6(x dividir por 18,75)^2
Expresiones semejantes
0,47=3(x/18,75)^4+8(x/18,75)^3+6(x/18,75)^2
0,47=3(x/18,75)^4-8(x/18,75)^3-6(x/18,75)^2

0,47=3(x/18,75)^4-8(x/18,75)^3+6(x/18,75)^2 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

              4           3           2
 47     / x  \      / x  \      / x  \ 
--- = 3*|----|  - 8*|----|  + 6*|----| 
100     \75/4/      \75/4/      \75/4/

$$\frac{47}{100} = 6 \left(\frac{x}{\frac{75}{4}}\right)^{2} + \left(3 \left(\frac{x}{\frac{75}{4}}\right)^{4} - 8 \left(\frac{x}{\frac{75}{4}}\right)^{3}\right)$$

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Trazar el gráfico f2(x)

Suma y producto de raíces [src]

suma

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                                                                                                            /   25        /  894375   178875*\/ 47                   11925                                                          125                                                                                                                                                          /   25        /  894375   178875*\/ 47                   11925                                                          125                                                                                                                                                            /     25        /  894375   178875*\/ 47                                              125                                                           11925                                                                                                                                /     25        /  894375   178875*\/ 47                                              125                                                           11925               
                                                                                              5*           /    -- - 2*3 /   ------ + -------------  - --------------------------------- + --------------------------------------------------------------------------------------                                                                                                  5*           /    -- - 2*3 /   ------ + -------------  - --------------------------------- + --------------------------------------------------------------------------------------                                                                                                  5*I*           /    - -- + 2*3 /   ------ + -------------  + -------------------------------------------------------------------------------------- + ---------------------------------                                                                                                  5*I*           /    - -- + 2*3 /   ------ + -------------  + -------------------------------------------------------------------------------------- + --------------------------------- 
                 __________________________________________________________________________               /     2      \/    16384        32768                 ________________________               __________________________________________________________________________                     __________________________________________________________________________               /     2      \/    16384        32768                 ________________________               __________________________________________________________________________                     __________________________________________________________________________                 /       2      \/    16384        32768                    __________________________________________________________________________            ________________________                     __________________________________________________________________________                 /       2      \/    16384        32768                    __________________________________________________________________________            ________________________ 
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               /             /                   ____                                                   /                                                     /  894375   178875*\/ 47               /             /                   ____                                                         /             /                   ____                                                   /                                                     /  894375   178875*\/ 47               /             /                   ____                                                         /             /                   ____                                                     /                                                          /             /                   ____                                                /  894375   178875*\/ 47                     /             /                   ____                                                     /                                                          /             /                   ____                                                /  894375   178875*\/ 47   
              /   25        /  894375   178875*\/ 47                   11925                           /                                               512*3 /   ------ + -------------             /   25        /  894375   178875*\/ 47                   11925                                 /   25        /  894375   178875*\/ 47                   11925                           /                                               512*3 /   ------ + -------------             /   25        /  894375   178875*\/ 47                   11925                                 /   25        /  894375   178875*\/ 47                   11925                             /                                                          /   25        /  894375   178875*\/ 47                   11925                  512*3 /   ------ + -------------                   /   25        /  894375   178875*\/ 47                   11925                             /                                                          /   25        /  894375   178875*\/ 47                   11925                  512*3 /   ------ + -------------  
     5*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------            /                                                    \/    16384        32768        4*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------          5*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------            /                                                    \/    16384        32768        4*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------          5*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------              /                                                  4*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------        \/    16384        32768              5*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------              /                                                  4*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------        \/    16384        32768      
            /     4      \/    16384        32768                 ________________________           /                                                                                            /     4      \/    16384        32768                 ________________________                 /     4      \/    16384        32768                 ________________________           /                                                                                            /     4      \/    16384        32768                 ________________________                 /     4      \/    16384        32768                 ________________________             /                                                          /     4      \/    16384        32768                 ________________________                                                     /     4      \/    16384        32768                 ________________________             /                                                          /     4      \/    16384        32768                 ________________________                                      
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          /                                                     /  894375   178875*\/ 47           /                                                                                            /                                                     /  894375   178875*\/ 47                 /                                                     /  894375   178875*\/ 47           /                                                                                            /                                                     /  894375   178875*\/ 47                 /                                                     /  894375   178875*\/ 47             /                                                          /                                                     /  894375   178875*\/ 47                                                     /                                                     /  894375   178875*\/ 47             /                                                          /                                                     /  894375   178875*\/ 47                                        
         /                                               512*3 /   ------ + -------------         /                                                                                            /                                               512*3 /   ------ + -------------               /                                               512*3 /   ------ + -------------         /                                                                                            /                                               512*3 /   ------ + -------------               /                                               512*3 /   ------ + -------------           /                                                          /                                               512*3 /   ------ + -------------                                                   /                                               512*3 /   ------ + -------------           /                                                          /                                               512*3 /   ------ + -------------                                       
25     \/                                                    \/    16384        32768           \/                                                                                           \/                                                    \/    16384        32768          25     \/                                                    \/    16384        32768           \/                                                                                           \/                                                    \/    16384        32768          25     \/                                                    \/    16384        32768             \/                                                         \/                                                    \/    16384        32768                                              25     \/                                                    \/    16384        32768             \/                                                         \/                                                    \/    16384        32768                                           
-- - -------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + -- - -------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + -- + -------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -- + -------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2                                              2                                                                                                                                       2                                                                                             2                                              2                                                                                                                                       2                                                                                             2                                              2                                                                                                                                         2                                                                                               2                                              2                                                                                                                                         2

$$\left(\left(\left(- \frac{5 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2} - \frac{5 \sqrt{- 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}} - \frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{125}{4 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}} + \frac{25}{2}}}{2} + \frac{25}{2}\right) + \left(- \frac{5 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2} + \frac{5 \sqrt{- 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}} - \frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{125}{4 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}} + \frac{25}{2}}}{2} + \frac{25}{2}\right)\right) + \left(\frac{5 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2} + \frac{25}{2} - \frac{5 i \sqrt{- \frac{25}{2} + \frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{125}{4 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2}\right)\right) + \left(\frac{5 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2} + \frac{25}{2} + \frac{5 i \sqrt{- \frac{25}{2} + \frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{125}{4 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2}\right)$$

$$50$$

producto

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|                                                                                                            /   25        /  894375   178875*\/ 47                   11925                                                          125                                           | |                                                                                                            /   25        /  894375   178875*\/ 47                   11925                                                          125                                           | |                                                                                                              /     25        /  894375   178875*\/ 47                                              125                                                           11925               | |                                                                                                              /     25        /  894375   178875*\/ 47                                              125                                                           11925               |
|                                                                                              5*           /    -- - 2*3 /   ------ + -------------  - --------------------------------- + -------------------------------------------------------------------------------------- | |                                                                                              5*           /    -- - 2*3 /   ------ + -------------  - --------------------------------- + -------------------------------------------------------------------------------------- | |                                                                                              5*I*           /    - -- + 2*3 /   ------ + -------------  + -------------------------------------------------------------------------------------- + --------------------------------- | |                                                                                              5*I*           /    - -- + 2*3 /   ------ + -------------  + -------------------------------------------------------------------------------------- + --------------------------------- |
|                 __________________________________________________________________________               /     2      \/    16384        32768                 ________________________               __________________________________________________________________________ | |                 __________________________________________________________________________               /     2      \/    16384        32768                 ________________________               __________________________________________________________________________ | |                 __________________________________________________________________________                 /       2      \/    16384        32768                    __________________________________________________________________________            ________________________ | |                 __________________________________________________________________________                 /       2      \/    16384        32768                    __________________________________________________________________________            ________________________ |
|                /             ________________________                                                   /                                                     /                   ____               /             ________________________                                      | |                /             ________________________                                                   /                                                     /                   ____               /             ________________________                                      | |                /             ________________________                                                     /                                                          /             ________________________                                                /                   ____  | |                /             ________________________                                                     /                                                          /             ________________________                                                /                   ____  |
|               /             /                   ____                                                   /                                                     /  894375   178875*\/ 47               /             /                   ____                                       | |               /             /                   ____                                                   /                                                     /  894375   178875*\/ 47               /             /                   ____                                       | |               /             /                   ____                                                     /                                                          /             /                   ____                                                /  894375   178875*\/ 47   | |               /             /                   ____                                                     /                                                          /             /                   ____                                                /  894375   178875*\/ 47   |
|              /   25        /  894375   178875*\/ 47                   11925                           /                                               512*3 /   ------ + -------------             /   25        /  894375   178875*\/ 47                   11925                | |              /   25        /  894375   178875*\/ 47                   11925                           /                                               512*3 /   ------ + -------------             /   25        /  894375   178875*\/ 47                   11925                | |              /   25        /  894375   178875*\/ 47                   11925                             /                                                          /   25        /  894375   178875*\/ 47                   11925                  512*3 /   ------ + -------------  | |              /   25        /  894375   178875*\/ 47                   11925                             /                                                          /   25        /  894375   178875*\/ 47                   11925                  512*3 /   ------ + -------------  |
|     5*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------            /                                                    \/    16384        32768        4*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------  | |     5*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------            /                                                    \/    16384        32768        4*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------  | |     5*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------              /                                                  4*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------        \/    16384        32768      | |     5*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------              /                                                  4*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------        \/    16384        32768      |
|            /     4      \/    16384        32768                 ________________________           /                                                                                            /     4      \/    16384        32768                 ________________________  | |            /     4      \/    16384        32768                 ________________________           /                                                                                            /     4      \/    16384        32768                 ________________________  | |            /     4      \/    16384        32768                 ________________________             /                                                          /     4      \/    16384        32768                 ________________________                                      | |            /     4      \/    16384        32768                 ________________________             /                                                          /     4      \/    16384        32768                 ________________________                                      |
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|          /                                                     /  894375   178875*\/ 47           /                                                                                            /                                                     /  894375   178875*\/ 47    | |          /                                                     /  894375   178875*\/ 47           /                                                                                            /                                                     /  894375   178875*\/ 47    | |          /                                                     /  894375   178875*\/ 47             /                                                          /                                                     /  894375   178875*\/ 47                                        | |          /                                                     /  894375   178875*\/ 47             /                                                          /                                                     /  894375   178875*\/ 47                                        |
|         /                                               512*3 /   ------ + -------------         /                                                                                            /                                               512*3 /   ------ + -------------   | |         /                                               512*3 /   ------ + -------------         /                                                                                            /                                               512*3 /   ------ + -------------   | |         /                                               512*3 /   ------ + -------------           /                                                          /                                               512*3 /   ------ + -------------                                       | |         /                                               512*3 /   ------ + -------------           /                                                          /                                               512*3 /   ------ + -------------                                       |
|25     \/                                                    \/    16384        32768           \/                                                                                           \/                                                    \/    16384        32768       | |25     \/                                                    \/    16384        32768           \/                                                                                           \/                                                    \/    16384        32768       | |25     \/                                                    \/    16384        32768             \/                                                         \/                                                    \/    16384        32768                                           | |25     \/                                                    \/    16384        32768             \/                                                         \/                                                    \/    16384        32768                                           |
|-- - -------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-- - -------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-- + -------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|-- + -------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
\2                                              2                                                                                                                                       2                                                                                          / \2                                              2                                                                                                                                       2                                                                                          / \2                                              2                                                                                                                                         2                                                                                            / \2                                              2                                                                                                                                         2                                                                                            /

$$\left(- \frac{5 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2} - \frac{5 \sqrt{- 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}} - \frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{125}{4 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}} + \frac{25}{2}}}{2} + \frac{25}{2}\right) \left(- \frac{5 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2} + \frac{5 \sqrt{- 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}} - \frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{125}{4 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}} + \frac{25}{2}}}{2} + \frac{25}{2}\right) \left(\frac{5 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2} + \frac{25}{2} - \frac{5 i \sqrt{- \frac{25}{2} + \frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{125}{4 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2}\right) \left(\frac{5 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2} + \frac{25}{2} + \frac{5 i \sqrt{- \frac{25}{2} + \frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{125}{4 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2}\right)$$

-19828125 
----------
   1024

$$- \frac{19828125}{1024}$$

-19828125/1024

Respuesta rápida [src]

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                                                                                                                 /   25        /  894375   178875*\/ 47                   11925                                                          125                                           
                                                                                                   5*           /    -- - 2*3 /   ------ + -------------  - --------------------------------- + -------------------------------------------------------------------------------------- 
                      __________________________________________________________________________               /     2      \/    16384        32768                 ________________________               __________________________________________________________________________ 
                     /             ________________________                                                   /                                                     /                   ____               /             ________________________                                      
                    /             /                   ____                                                   /                                                     /  894375   178875*\/ 47               /             /                   ____                                       
                   /   25        /  894375   178875*\/ 47                   11925                           /                                               512*3 /   ------ + -------------             /   25        /  894375   178875*\/ 47                   11925                
          5*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------            /                                                    \/    16384        32768        4*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------  
                 /     4      \/    16384        32768                 ________________________           /                                                                                            /     4      \/    16384        32768                 ________________________  
                /                                                     /                   ____           /                                                                                            /                                                     /                   ____   
               /                                                     /  894375   178875*\/ 47           /                                                                                            /                                                     /  894375   178875*\/ 47    
              /                                               512*3 /   ------ + -------------         /                                                                                            /                                               512*3 /   ------ + -------------   
     25     \/                                                    \/    16384        32768           \/                                                                                           \/                                                    \/    16384        32768       
x1 = -- - -------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     2                                              2                                                                                                                                       2

$$x_{1} = - \frac{5 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2} - \frac{5 \sqrt{- 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}} - \frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{125}{4 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}} + \frac{25}{2}}}{2} + \frac{25}{2}$$

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                                                                                                                 /   25        /  894375   178875*\/ 47                   11925                                                          125                                           
                                                                                                   5*           /    -- - 2*3 /   ------ + -------------  - --------------------------------- + -------------------------------------------------------------------------------------- 
                      __________________________________________________________________________               /     2      \/    16384        32768                 ________________________               __________________________________________________________________________ 
                     /             ________________________                                                   /                                                     /                   ____               /             ________________________                                      
                    /             /                   ____                                                   /                                                     /  894375   178875*\/ 47               /             /                   ____                                       
                   /   25        /  894375   178875*\/ 47                   11925                           /                                               512*3 /   ------ + -------------             /   25        /  894375   178875*\/ 47                   11925                
          5*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------            /                                                    \/    16384        32768        4*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------  
                 /     4      \/    16384        32768                 ________________________           /                                                                                            /     4      \/    16384        32768                 ________________________  
                /                                                     /                   ____           /                                                                                            /                                                     /                   ____   
               /                                                     /  894375   178875*\/ 47           /                                                                                            /                                                     /  894375   178875*\/ 47    
              /                                               512*3 /   ------ + -------------         /                                                                                            /                                               512*3 /   ------ + -------------   
     25     \/                                                    \/    16384        32768           \/                                                                                           \/                                                    \/    16384        32768       
x2 = -- - -------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     2                                              2                                                                                                                                       2

$$x_{2} = - \frac{5 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2} + \frac{5 \sqrt{- 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}} - \frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{125}{4 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}} + \frac{25}{2}}}{2} + \frac{25}{2}$$

                                                                                                                      _____________________________________________________________________________________________________________________________________________________________________
                                                                                                                     /               ________________________                                                                                                                              
                                                                                                                    /               /                   ____                                                                                                                               
                                                                                                                   /     25        /  894375   178875*\/ 47                                              125                                                           11925               
                                                                                                   5*I*           /    - -- + 2*3 /   ------ + -------------  + -------------------------------------------------------------------------------------- + --------------------------------- 
                      __________________________________________________________________________                 /       2      \/    16384        32768                    __________________________________________________________________________            ________________________ 
                     /             ________________________                                                     /                                                          /             ________________________                                                /                   ____  
                    /             /                   ____                                                     /                                                          /             /                   ____                                                /  894375   178875*\/ 47   
                   /   25        /  894375   178875*\/ 47                   11925                             /                                                          /   25        /  894375   178875*\/ 47                   11925                  512*3 /   ------ + -------------  
          5*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------              /                                                  4*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------        \/    16384        32768      
                 /     4      \/    16384        32768                 ________________________             /                                                          /     4      \/    16384        32768                 ________________________                                      
                /                                                     /                   ____             /                                                          /                                                     /                   ____                                       
               /                                                     /  894375   178875*\/ 47             /                                                          /                                                     /  894375   178875*\/ 47                                        
              /                                               512*3 /   ------ + -------------           /                                                          /                                               512*3 /   ------ + -------------                                       
     25     \/                                                    \/    16384        32768             \/                                                         \/                                                    \/    16384        32768                                           
x3 = -- + -------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     2                                              2                                                                                                                                         2

$$x_{3} = \frac{5 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2} + \frac{25}{2} - \frac{5 i \sqrt{- \frac{25}{2} + \frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{125}{4 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2}$$

                                                                                                                      _____________________________________________________________________________________________________________________________________________________________________
                                                                                                                     /               ________________________                                                                                                                              
                                                                                                                    /               /                   ____                                                                                                                               
                                                                                                                   /     25        /  894375   178875*\/ 47                                              125                                                           11925               
                                                                                                   5*I*           /    - -- + 2*3 /   ------ + -------------  + -------------------------------------------------------------------------------------- + --------------------------------- 
                      __________________________________________________________________________                 /       2      \/    16384        32768                    __________________________________________________________________________            ________________________ 
                     /             ________________________                                                     /                                                          /             ________________________                                                /                   ____  
                    /             /                   ____                                                     /                                                          /             /                   ____                                                /  894375   178875*\/ 47   
                   /   25        /  894375   178875*\/ 47                   11925                             /                                                          /   25        /  894375   178875*\/ 47                   11925                  512*3 /   ------ + -------------  
          5*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------              /                                                  4*      /    -- + 2*3 /   ------ + -------------  + ---------------------------------        \/    16384        32768      
                 /     4      \/    16384        32768                 ________________________             /                                                          /     4      \/    16384        32768                 ________________________                                      
                /                                                     /                   ____             /                                                          /                                                     /                   ____                                       
               /                                                     /  894375   178875*\/ 47             /                                                          /                                                     /  894375   178875*\/ 47                                        
              /                                               512*3 /   ------ + -------------           /                                                          /                                               512*3 /   ------ + -------------                                       
     25     \/                                                    \/    16384        32768             \/                                                         \/                                                    \/    16384        32768                                           
x4 = -- + -------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
     2                                              2                                                                                                                                         2

$$x_{4} = \frac{5 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2} + \frac{25}{2} + \frac{5 i \sqrt{- \frac{25}{2} + \frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{125}{4 \sqrt{\frac{11925}{512 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}} + \frac{25}{4} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}} + 2 \sqrt[3]{\frac{178875 \sqrt{47}}{32768} + \frac{894375}{16384}}}}{2}$$

x4 = 5*sqrt(11925/(512*(178875*sqrt(47)/32768 + 894375/16384)^(1/3)) + 25/4 + 2*(178875*sqrt(47)/32768 + 894375/16384)^(1/3))/2 + 25/2 + 5*i*sqrt(-25/2 + 11925/(512*(178875*sqrt(47)/32768 + 894375/16384)^(1/3)) + 125/(4*sqrt(11925/(512*(178875*sqrt(47)/32768 + 894375/16384)^(1/3)) + 25/4 + 2*(178875*sqrt(47)/32768 + 894375/16384)^(1/3))) + 2*(178875*sqrt(47)/32768 + 894375/16384)^(1/3))/2

Respuesta numérica [src]

x1 = -4.51628055052861

x2 = 23.8021585055445 - 7.33169588252787*i

x3 = 6.91196353943967

x4 = 23.8021585055445 + 7.33169588252787*i

x4 = 23.8021585055445 + 7.33169588252787*i

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