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atan(x^2-2*y) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
    / 2      \    
atan\x  - 2*y/ = 0
$$\operatorname{atan}{\left(x^{2} - 2 y \right)} = 0$$
Gráfica
Respuesta rápida [src]
       2        2                   
     re (x)   im (x)                
y1 = ------ - ------ + I*im(x)*re(x)
       2        2                   
$$y_{1} = \frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} + i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}$$
y1 = re(x)^2/2 + i*re(x)*im(x) - im(x)^2/2
Suma y producto de raíces [src]
suma
  2        2                   
re (x)   im (x)                
------ - ------ + I*im(x)*re(x)
  2        2                   
$$\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} + i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}$$
=
  2        2                   
re (x)   im (x)                
------ - ------ + I*im(x)*re(x)
  2        2                   
$$\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} + i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}$$
producto
  2        2                   
re (x)   im (x)                
------ - ------ + I*im(x)*re(x)
  2        2                   
$$\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} + i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}$$
=
  2        2                   
re (x)   im (x)                
------ - ------ + I*im(x)*re(x)
  2        2                   
$$\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} + i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}$$
re(x)^2/2 - im(x)^2/2 + i*im(x)*re(x)