Question

解分式方程7/（XX+X)+1/（xx-x) =6/（xx-1）

Answer 1

7/x(x+1)+1/x(x-1)=6/(x+1)(x-1)
两边乘x(x+1)(x-1)
7x-7+x+1=6x
x=3
经检验，x=3是方程的解

Answer 2

7/（x^2+X)+1/（x^2-x) =6/（x^2-1）
7/x(x+1)+1/x(x-1)=6/(x+1)(x-1)
7(x-1)+(x+1)=6x
2x=6
x=3