│x-1│=│2-x│ (两边平方)x²-2x+1=x²-4x+42x=3x=3/2
x=1.5
=两边分别取平方,得(x-1)2=(2-x)2然后得x2-2x+1=x2-4x+4得2x=3x=1.5
平方得(x-1)^2=(2-x)^2(x-1)^2-(2-x)^2=0(x-1-2+x)(x-1+2-x)=0(2x-3)*1=0得 x=3/2=1.5