Question

x-1分之x - 1 =x的平方+x-2分之3 解这个分式方程

Answer 1

x/(x-1)-1=3/(x²+x-2)

x/(x-1)-1=3/(x-1)(x+2)

两边同时乘以(x-1)(x+2)得：

x(x+2)-(x-1)(x+2)=3

x²+2x-x²-x+2=3

x=1

此为增根

所以原方程无解.