Resolución de la ecuación paramétrica
Se da la ecuación con parámetro:
$$x z + x = 36$$
Коэффициент при x равен
$$z + 1$$
entonces son posibles los casos para z :
$$z < -1$$
$$z = -1$$
Consideremos todos los casos con detalles:
Con
$$z < -1$$
la ecuación será
$$- x - 36 = 0$$
su solución
$$x = -36$$
Con
$$z = -1$$
la ecuación será
$$-36 = 0$$
su solución
no hay soluciones
Suma y producto de raíces
[src]
36*(1 + re(z)) 36*I*im(z)
--------------------- - ---------------------
2 2 2 2
(1 + re(z)) + im (z) (1 + re(z)) + im (z)
$$\frac{36 \left(\operatorname{re}{\left(z\right)} + 1\right)}{\left(\operatorname{re}{\left(z\right)} + 1\right)^{2} + \left(\operatorname{im}{\left(z\right)}\right)^{2}} - \frac{36 i \operatorname{im}{\left(z\right)}}{\left(\operatorname{re}{\left(z\right)} + 1\right)^{2} + \left(\operatorname{im}{\left(z\right)}\right)^{2}}$$
36*(1 + re(z)) 36*I*im(z)
--------------------- - ---------------------
2 2 2 2
(1 + re(z)) + im (z) (1 + re(z)) + im (z)
$$\frac{36 \left(\operatorname{re}{\left(z\right)} + 1\right)}{\left(\operatorname{re}{\left(z\right)} + 1\right)^{2} + \left(\operatorname{im}{\left(z\right)}\right)^{2}} - \frac{36 i \operatorname{im}{\left(z\right)}}{\left(\operatorname{re}{\left(z\right)} + 1\right)^{2} + \left(\operatorname{im}{\left(z\right)}\right)^{2}}$$
36*(1 + re(z)) 36*I*im(z)
--------------------- - ---------------------
2 2 2 2
(1 + re(z)) + im (z) (1 + re(z)) + im (z)
$$\frac{36 \left(\operatorname{re}{\left(z\right)} + 1\right)}{\left(\operatorname{re}{\left(z\right)} + 1\right)^{2} + \left(\operatorname{im}{\left(z\right)}\right)^{2}} - \frac{36 i \operatorname{im}{\left(z\right)}}{\left(\operatorname{re}{\left(z\right)} + 1\right)^{2} + \left(\operatorname{im}{\left(z\right)}\right)^{2}}$$
36*(1 - I*im(z) + re(z))
------------------------
2 2
(1 + re(z)) + im (z)
$$\frac{36 \left(\operatorname{re}{\left(z\right)} - i \operatorname{im}{\left(z\right)} + 1\right)}{\left(\operatorname{re}{\left(z\right)} + 1\right)^{2} + \left(\operatorname{im}{\left(z\right)}\right)^{2}}$$
36*(1 - i*im(z) + re(z))/((1 + re(z))^2 + im(z)^2)
36*(1 + re(z)) 36*I*im(z)
x1 = --------------------- - ---------------------
2 2 2 2
(1 + re(z)) + im (z) (1 + re(z)) + im (z)
$$x_{1} = \frac{36 \left(\operatorname{re}{\left(z\right)} + 1\right)}{\left(\operatorname{re}{\left(z\right)} + 1\right)^{2} + \left(\operatorname{im}{\left(z\right)}\right)^{2}} - \frac{36 i \operatorname{im}{\left(z\right)}}{\left(\operatorname{re}{\left(z\right)} + 1\right)^{2} + \left(\operatorname{im}{\left(z\right)}\right)^{2}}$$
x1 = 36*(re(z) + 1)/((re(z) + 1)^2 + im(z)^2) - 36*i*im(z)/((re(z) + 1)^2 + im(z)^2)