atan(x^2-2*y) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
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]
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
$$\frac{\left(\operatorname{re}{\left(x\right)}\right)^{2}}{2} + i \operatorname{re}{\left(x\right)} \operatorname{im}{\left(x\right)} - \frac{\left(\operatorname{im}{\left(x\right)}\right)^{2}}{2}$$
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)