Решите уравнение |x-3| - |2x-4| = -5

|x-3| - |2x-4| = -5 х-3=0         2х-4=0 х=3            2х=4                   х=2 ___________________2_____________3____________ 1) x<2             -(x-3)+(2x-4)=-5                        -x+3+2x-4=-5                        x-1=-5                        x=-5+1                        x=-4 <2                        x=-4 -корень уравнения 2) 23             +(x+3)-(2x-4)=-5                         x+3-2x+4=-5                        -x+7=-5                        -x=-5-7                        -x=-12 |:(-1)                         x=12 ∈ (3;+∞)                         x=12 -корень уравнения Ответ: -4 и 12