Question

Решите уравнение x^2+x/x+3=6/3+x

Answer 1

$displaystyle frac{x^2+x}{x+3}= frac{6}{3+x}\\ frac{x^2+x-6}{x+3}=0\\ left { {{x^2+x-6=0} atop {x+3 neq 0}} right. \\ x^2+x-6=0\\D=1+24=25\\x_{1.2}= frac{-1pm 5}{2}\\x_1=-3; x_2=2\\x+3 neq 0; x neq -3$

Ответ х=2