(x-1)/(x-2)=1/(x-2)
x-1=1,x=2
但x-2使分母为0,2为增根
∴原方程无解.
也可这样分析:
(x-1)/(x-2)=[(x-2)+1]/(x-2)=(x-2)/(x-2)+1/(x-2)
=1+1/(x-2)≠1/(x-2)
∴原方程无解.