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(x^3+3y)ln(x^2-y) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
/ 3      \    / 2    \    
\x  + 3*y/*log\x  - y/ = 0
(x3+3y)log⁡(x2−y)=0\left(x^{3} + 3 y\right) \log{\left(x^{2} - y \right)} = 0
Simplificar
Gráfica
Suma y producto de raíces [src] 
suma
    3        /  3                  \                                                        
  re (x)     |im (x)     2         |     2                   2        2                     
- ------ + I*|------ - re (x)*im(x)| + im (x)*re(x) + -1 + re (x) - im (x) + 2*I*im(x)*re(x)
    3        \  3                  /
(i(−(re⁡(x))2im⁡(x)+(im⁡(x))33)−(re⁡(x))33+re⁡(x)(im⁡(x))2)+((re⁡(x))2+2ire⁡(x)im⁡(x)−(im⁡(x))2−1)\left(i \left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} + \frac{\left(\operatorname{im}{\left(x\right)}\right)^{3}}{3}\right) - \frac{\left(\operatorname{re}{\left(x\right)}\right)^{3}}{3} + \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}\right) + \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 1\right) 
=
                         3        /  3                  \                                 
       2        2      re (x)     |im (x)     2         |     2                           
-1 + re (x) - im (x) - ------ + I*|------ - re (x)*im(x)| + im (x)*re(x) + 2*I*im(x)*re(x)
                         3        \  3                  /
i(−(re⁡(x))2im⁡(x)+(im⁡(x))33)−(re⁡(x))33+(re⁡(x))2+re⁡(x)(im⁡(x))2+2ire⁡(x)im⁡(x)−(im⁡(x))2−1i \left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} + \frac{\left(\operatorname{im}{\left(x\right)}\right)^{3}}{3}\right) - \frac{\left(\operatorname{re}{\left(x\right)}\right)^{3}}{3} + \left(\operatorname{re}{\left(x\right)}\right)^{2} + \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} + 2 i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 1 
producto
/    3        /  3                  \               \                                         
|  re (x)     |im (x)     2         |     2         | /       2        2                     \
|- ------ + I*|------ - re (x)*im(x)| + im (x)*re(x)|*\-1 + re (x) - im (x) + 2*I*im(x)*re(x)/
\    3        \  3                  /               /
(i(−(re⁡(x))2im⁡(x)+(im⁡(x))33)−(re⁡(x))33+re⁡(x)(im⁡(x))2)((re⁡(x))2+2ire⁡(x)im⁡(x)−(im⁡(x))2−1)\left(i \left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} + \frac{\left(\operatorname{im}{\left(x\right)}\right)^{3}}{3}\right) - \frac{\left(\operatorname{re}{\left(x\right)}\right)^{3}}{3} + \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}\right) \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 1\right) 
=
 /  3          2              /    2          2   \      \ /       2        2                     \ 
-\re (x) - 3*im (x)*re(x) + I*\- im (x) + 3*re (x)/*im(x)/*\-1 + re (x) - im (x) + 2*I*im(x)*re(x)/ 
----------------------------------------------------------------------------------------------------
                                                 3
−(i(3(re⁡(x))2−(im⁡(x))2)im⁡(x)+(re⁡(x))3−3re⁡(x)(im⁡(x))2)((re⁡(x))2+2ire⁡(x)im⁡(x)−(im⁡(x))2−1)3- \frac{\left(i \left(3 \left(\operatorname{re}{\left(x\right)}\right)^{2} - \left(\operatorname{im}{\left(x\right)}\right)^{2}\right) \operatorname{im}{\left(x\right)} + \left(\operatorname{re}{\left(x\right)}\right)^{3} - 3 \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2}\right) \left(\left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 1\right)}{3} 
-(re(x)^3 - 3*im(x)^2*re(x) + i*(-im(x)^2 + 3*re(x)^2)*im(x))*(-1 + re(x)^2 - im(x)^2 + 2*i*im(x)*re(x))/3
Respuesta rápida [src] 
         3        /  3                  \               
       re (x)     |im (x)     2         |     2         
y1 = - ------ + I*|------ - re (x)*im(x)| + im (x)*re(x)
         3        \  3                  /
y1=i(−(re⁡(x))2im⁡(x)+(im⁡(x))33)−(re⁡(x))33+re⁡(x)(im⁡(x))2y_{1} = i \left(- \left(\operatorname{re}{\left(x\right)}\right)^{2} \operatorname{im}{\left(x\right)} + \frac{\left(\operatorname{im}{\left(x\right)}\right)^{3}}{3}\right) - \frac{\left(\operatorname{re}{\left(x\right)}\right)^{3}}{3} + \operatorname{re}{\left(x\right)} \left(\operatorname{im}{\left(x\right)}\right)^{2} 
            2        2                     
y2 = -1 + re (x) - im (x) + 2*I*im(x)*re(x)
y2=(re⁡(x))2+2ire⁡(x)im⁡(x)−(im⁡(x))2−1y_{2} = \left(\operatorname{re}{\left(x\right)}\right)^{2} + 2 i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \left(\operatorname{im}{\left(x\right)}\right)^{2} - 1 
y2 = re(x)^2 + 2*i*re(x)*im(x) - im(x)^2 - 1
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