(1/pi)*arctg((x-y)/z)+0.5=C la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
-re(z*cot(pi*c)) + I*(-im(z*cot(pi*c)) + im(y)) + re(y)
$$i \left(\operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z \cot{\left(\pi c \right)}\right)}\right) + \operatorname{re}{\left(y\right)} - \operatorname{re}{\left(z \cot{\left(\pi c \right)}\right)}$$
-re(z*cot(pi*c)) + I*(-im(z*cot(pi*c)) + im(y)) + re(y)
$$i \left(\operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z \cot{\left(\pi c \right)}\right)}\right) + \operatorname{re}{\left(y\right)} - \operatorname{re}{\left(z \cot{\left(\pi c \right)}\right)}$$
-re(z*cot(pi*c)) + I*(-im(z*cot(pi*c)) + im(y)) + re(y)
$$i \left(\operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z \cot{\left(\pi c \right)}\right)}\right) + \operatorname{re}{\left(y\right)} - \operatorname{re}{\left(z \cot{\left(\pi c \right)}\right)}$$
-re(z*cot(pi*c)) + I*(-im(z*cot(pi*c)) + im(y)) + re(y)
$$i \left(\operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z \cot{\left(\pi c \right)}\right)}\right) + \operatorname{re}{\left(y\right)} - \operatorname{re}{\left(z \cot{\left(\pi c \right)}\right)}$$
-re(z*cot(pi*c)) + i*(-im(z*cot(pi*c)) + im(y)) + re(y)
x1 = -re(z*cot(pi*c)) + I*(-im(z*cot(pi*c)) + im(y)) + re(y)
$$x_{1} = i \left(\operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z \cot{\left(\pi c \right)}\right)}\right) + \operatorname{re}{\left(y\right)} - \operatorname{re}{\left(z \cot{\left(\pi c \right)}\right)}$$
x1 = i*(im(y) - im(z*cot(pi*c))) + re(y) - re(z*cot(pi*c))