Question

calcule m na equação m/1+m + 2/m = 1, considerando qu u = r - { -1, 0}.

Answer 1

Sabemos que:

$\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}$

Então.

$\frac{m}{1+m}+\frac{2}{m}=1\\\\\\ \frac{m.m+(1+m).2}{(1+m).m}=1\\\\\\ \frac{m^2+2+2m}{m+m^2}=1\\\\\\ \frac{m^2+2m+2}{m^2+m}=1$

Multiplicando em cruz temos

$m^2+2m+2=1.(m^2+m)\\\\\\ m^2 + 2m + 2 = m^2 + m\\\\\\ m^2 + 2m + 2 - m^2 - m = 0\\\\\\ m+2=0\\\\\\m = -2$