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(1/pi)*arctg((x-y)/z)+0.5=C la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
    /x - y\        
atan|-----|        
    \  z  /   1    
----------- + - = c
     pi       2    
$$\frac{\operatorname{atan}{\left(\frac{x - y}{z} \right)}}{\pi} + \frac{1}{2} = c$$
Gráfica
Suma y producto de raíces [src]
suma
-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)
$$i \left(\operatorname{im}{\left(y\right)} - \operatorname{im}{\left(z \cot{\left(\pi c \right)}\right)}\right) + \operatorname{re}{\left(y\right)} - \operatorname{re}{\left(z \cot{\left(\pi c \right)}\right)}$$
producto
-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)
Respuesta rápida [src]
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))