Question

解分式方程 3/(x平方-1 )- 1/(x平方-x)=0

Answer 1

3/(x平方-1 )- 1/(x平方-x)=0

3/(x平方-1 )= 1/(x平方-x)

3(x²-x)=x²-1

2x²-3x+1=0

(x-1)(2x-1)=0

x1=1(经代入最简公分母x(x-1)(x+1)=0,不合题意,舍去)

x2=1/2(经代入最简公分母x(x-1)(x+1)≠0,合题意)

x=1/2