如果关于X的分式方程（X-2）分之（X-1）等于（X-1）分之M再加1 无解,则m的值为多少?

(x-1)/(x-2)=m/(x-1)+1
(x-1)/(x-2)=(x+m-1)/(x-1)
(x-1)²=(x-2)(x+m-1)
x²-2x+1=x²+（m-3)x-2m+2
(m-1)x=2m-1
x=(2m-1)/(m-1)
所以当m-1=0时即m=1时无意义,即x无解.