(x/x-1)-1=3/(x-1)(x+2)解分式方程

Question

(x/x-1)-1=3/(x-1)(x+2)解分式方程

Answer 1

(x/x-1)-1=3/(x-1)(x+2)
[x-(x-1)]/(x-1)=3/(x-1)(x+2)
1/(x-1)=3/(x-1)(x+2)
去分母得：x+2=3
x=1
检验知：x=1是增根；所以原方程无解