解方程(x²-3x)/(x²-1)+(2x-1)/(x-1)=0

解方程(x²-3x)/(x²-1)+(2x-1)/(x-1)=0
解方程(x²-3x)/(x²-1)+(2x-1)/(x-1)=0

解方程(x²-3x)/(x²-1)+(2x-1)/(x-1)=0
两边乘以(x+1)(x-1)得
x²-3x+(2x-1)(x+1)=0
x²-3x+2x²+x-1=0
3x²-2x-1=0
(3x+1)(x-1)=0
∴x=-1/3 x=1
检验：x=1是增根
∴方程的解是x=-1/3