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2*(-8*(x^2-1)*|x|^(2/3)/(x^2-4)+8*(x^2-1)*(3*x*|x|^(2/3)/(x^2-4)+sign(x)/|x|^(1/3))/(9*x)-8*(x^2-1)*|x|^(2/3)/(3*x^2)+(12*x^4+15*x^2*(x^2-4)+(x^2-4)^2)*|x|^(2/3)/(3*x^2*(x^2-4)))*((x^2-4)^3)^(1/3)/(x^2-4)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
  /                                /       2/3          \                                                                  \                    
  |                       / 2    \ |3*x*|x|      sign(x)|                                                                  |                    
  |                     8*\x  - 1/*|---------- + -------|                       /                                 2\       |     ___________    
  |   / 2    \    2/3              |   2         3 _____|     / 2    \    2/3   |    4       2 / 2    \   / 2    \ |    2/3|    /         3     
  |-8*\x  - 1/*|x|                 \  x  - 4     \/ |x| /   8*\x  - 1/*|x|      \12*x  + 15*x *\x  - 4/ + \x  - 4/ /*|x|   | 3 /  / 2    \      
2*|------------------ + --------------------------------- - ----------------- + -------------------------------------------|*\/   \x  - 4/      
  |       2                            9*x                            2                           2 / 2    \               |                    
  \      x  - 4                                                    3*x                         3*x *\x  - 4/               /                    
-------------------------------------------------------------------------------------------------------------------------------------------- = 0
                                                                    2                                                                           
                                                                   x  - 4                                                                       
$$\frac{2 \left(\left(\left(\frac{- 8 \left(x^{2} - 1\right) \left|{x}\right|^{\frac{2}{3}}}{x^{2} - 4} + \frac{8 \left(x^{2} - 1\right) \left(\frac{3 x \left|{x}\right|^{\frac{2}{3}}}{x^{2} - 4} + \frac{\operatorname{sign}{\left(x \right)}}{\sqrt[3]{\left|{x}\right|}}\right)}{9 x}\right) - \frac{8 \left(x^{2} - 1\right) \left|{x}\right|^{\frac{2}{3}}}{3 x^{2}}\right) + \frac{\left(\left(x^{2} - 4\right)^{2} + \left(12 x^{4} + 15 x^{2} \left(x^{2} - 4\right)\right)\right) \left|{x}\right|^{\frac{2}{3}}}{3 x^{2} \left(x^{2} - 4\right)}\right) \sqrt[3]{\left(x^{2} - 4\right)^{3}}}{x^{2} - 4} = 0$$
Gráfica
Suma y producto de raíces [src]
suma
0
$$0$$
=
0
$$0$$
producto
1
$$1$$
=
1
$$1$$
1