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arctg(x)+(y)^(0.5) la ecuación

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Solución numérica:

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Solución

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