Resolución de la ecuación paramétrica
Se da la ecuación con parámetro:
$$\frac{x}{y} + \log{\left(y \right)} - 3 = 0$$
Коэффициент при x равен
$$\frac{1}{y}$$
entonces son posibles los casos para y :
Consideremos todos los casos con detalles:
x1 = I*((3 - log(|y|))*im(y) - arg(y)*re(y)) + (3 - log(|y|))*re(y) + arg(y)*im(y)
$$x_{1} = \left(3 - \log{\left(\left|{y}\right| \right)}\right) \operatorname{re}{\left(y\right)} + i \left(\left(3 - \log{\left(\left|{y}\right| \right)}\right) \operatorname{im}{\left(y\right)} - \operatorname{re}{\left(y\right)} \arg{\left(y \right)}\right) + \operatorname{im}{\left(y\right)} \arg{\left(y \right)}$$
x1 = (3 - log(|y|))*re(y) + i*((3 - log(|y|))*im(y) - re(y)*arg(y)) + im(y)*arg(y)
Suma y producto de raíces
[src]
I*((3 - log(|y|))*im(y) - arg(y)*re(y)) + (3 - log(|y|))*re(y) + arg(y)*im(y)
$$\left(3 - \log{\left(\left|{y}\right| \right)}\right) \operatorname{re}{\left(y\right)} + i \left(\left(3 - \log{\left(\left|{y}\right| \right)}\right) \operatorname{im}{\left(y\right)} - \operatorname{re}{\left(y\right)} \arg{\left(y \right)}\right) + \operatorname{im}{\left(y\right)} \arg{\left(y \right)}$$
I*((3 - log(|y|))*im(y) - arg(y)*re(y)) + (3 - log(|y|))*re(y) + arg(y)*im(y)
$$\left(3 - \log{\left(\left|{y}\right| \right)}\right) \operatorname{re}{\left(y\right)} + i \left(\left(3 - \log{\left(\left|{y}\right| \right)}\right) \operatorname{im}{\left(y\right)} - \operatorname{re}{\left(y\right)} \arg{\left(y \right)}\right) + \operatorname{im}{\left(y\right)} \arg{\left(y \right)}$$
I*((3 - log(|y|))*im(y) - arg(y)*re(y)) + (3 - log(|y|))*re(y) + arg(y)*im(y)
$$\left(3 - \log{\left(\left|{y}\right| \right)}\right) \operatorname{re}{\left(y\right)} + i \left(\left(3 - \log{\left(\left|{y}\right| \right)}\right) \operatorname{im}{\left(y\right)} - \operatorname{re}{\left(y\right)} \arg{\left(y \right)}\right) + \operatorname{im}{\left(y\right)} \arg{\left(y \right)}$$
arg(y)*im(y) - I*((-3 + log(|y|))*im(y) + arg(y)*re(y)) - (-3 + log(|y|))*re(y)
$$- i \left(\left(\log{\left(\left|{y}\right| \right)} - 3\right) \operatorname{im}{\left(y\right)} + \operatorname{re}{\left(y\right)} \arg{\left(y \right)}\right) - \left(\log{\left(\left|{y}\right| \right)} - 3\right) \operatorname{re}{\left(y\right)} + \operatorname{im}{\left(y\right)} \arg{\left(y \right)}$$
arg(y)*im(y) - i*((-3 + log(|y|))*im(y) + arg(y)*re(y)) - (-3 + log(|y|))*re(y)