x的分式方程x-1/x-3-3＝m²+1/x-3无解
x-1 -3(x-3)=m^2+1
x-1-3x+9=m^2+1
-2x=m^2-7
x=(7-m^2)/2
当x=3时,原方程有增根,分式方程无解,
(7-m^2)/2=3
7-m^2=6
m^2=1
则m=±1