Question

решите уравнение 4x-6x+2 - xx+1= 9x^2+3x+2

Answer 1

$frac{4x-6}{x+2} - frac{x}{x+1}= frac{9}{ x^{2} +3x+2}\\ frac{4x-6}{x+2} - frac{x}{x+1} - frac{9}{(x+2)(x+1)}=0\\ frac{4 x^{2} +4x-6x-6- x^{2} -2x-9}{(x+2)(x+1)}=0\\ frac{3 x^{2} -4x-15}{(x+2)(x+1)}=0\\x+2 neq 0;x neq -2 \\x+1 neq 0;x neq -1\\\3 x^{2} -4x-15=0\\D=(-4) ^{2}-4*3*(-15)=16+180=196=14 ^{2}\\ x_{1} = frac{4+14}{6}=3\\ x_{2} = frac{4-14}{6}=-1 frac{2}{3}$