sqrt(x+y)-sqrt(x-y)=12 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
2 2
im (y) re (y) I*im(y)*re(y)
x1 = 36 - ------ + ------ + -------------
144 144 72
$$x_{1} = \frac{\left(\operatorname{re}{\left(y\right)}\right)^{2}}{144} + \frac{i \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}}{72} - \frac{\left(\operatorname{im}{\left(y\right)}\right)^{2}}{144} + 36$$
x1 = re(y)^2/144 + i*re(y)*im(y)/72 - im(y)^2/144 + 36
Suma y producto de raíces
[src]
2 2
im (y) re (y) I*im(y)*re(y)
36 - ------ + ------ + -------------
144 144 72
$$\frac{\left(\operatorname{re}{\left(y\right)}\right)^{2}}{144} + \frac{i \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}}{72} - \frac{\left(\operatorname{im}{\left(y\right)}\right)^{2}}{144} + 36$$
2 2
im (y) re (y) I*im(y)*re(y)
36 - ------ + ------ + -------------
144 144 72
$$\frac{\left(\operatorname{re}{\left(y\right)}\right)^{2}}{144} + \frac{i \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}}{72} - \frac{\left(\operatorname{im}{\left(y\right)}\right)^{2}}{144} + 36$$
2 2
im (y) re (y) I*im(y)*re(y)
36 - ------ + ------ + -------------
144 144 72
$$\frac{\left(\operatorname{re}{\left(y\right)}\right)^{2}}{144} + \frac{i \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}}{72} - \frac{\left(\operatorname{im}{\left(y\right)}\right)^{2}}{144} + 36$$
2 2
im (y) re (y) I*im(y)*re(y)
36 - ------ + ------ + -------------
144 144 72
$$\frac{\left(\operatorname{re}{\left(y\right)}\right)^{2}}{144} + \frac{i \operatorname{re}{\left(y\right)} \operatorname{im}{\left(y\right)}}{72} - \frac{\left(\operatorname{im}{\left(y\right)}\right)^{2}}{144} + 36$$
36 - im(y)^2/144 + re(y)^2/144 + i*im(y)*re(y)/72