解方程|x-1|=-2x-1

问题描述:

解方程|x-1|=-2x-1

case 1: x=1
|x-1|=-2x-1
LS=0
RS=-3
LS≠RS
rejected case 1
case 2: x>1
|x-1|=-2x-1
x-1 =-2x-1
x=0
rejected case 2
case 3: x|x-1|=-2x-1
-(x-1) = -2x-1
x=-2
|x-1|=-2x-1
x=-2

-2X-1≥0 得出x则 1-x=-2x-1
得 x=-2

x-1=-2x-1或x-1=2x+1
x=0或x=-2

2x+2或-2x