Решить урав-ие: |(x-1)/(x-2)|=|(x+1)/(x+2)|

Если 2 модуля равны друг другу, то возможны 2 варианта: 1) (x-1)/(x-2) = -(x+1)/(x+2) (x-1)/(x-2) + (x+1)/(x+2) = 0 (x-1)(x+2) + (x+1)(x-2) = 0 x^2 + x - 2 + x^2 - x - 2 = 0 2x^2 - 4 = 0 x1 = -√2; x2 = √2 2) (x-1)/(x-2) = (x+1)/(x+2) (x-1)/(x-2) - (x+1)/(x+2) = 0 (x-1)(x+2) - (x+1)(x-2) = 0 x^2 + x - 2 - x^2 + x + 2 = 0 2x = 0 x3 = 0