原式=1-(a-1)/a×(a²+2a)/(a²-1)
=1-(a-1)/a×a(a+2)/(a+1)(a-1)
=1-(a+2)/(a+1)
=[(a+1)-(a+2)]/(a+1)
=-1/(a+1)
x/(x-1)-1=2/(x+1)(x-1)
两边乘(x+1)(x-1)
x(x+1)-(x+1)(x-1)=2
x²+x-x²+1=2
x=1
经检验,x=1时公分母(x+1)(x-1)=0
是增根
舍去
所以方程无解
原式=1-(a-1)/a×(a²+2a)/(a²-1)
=1-(a-1)/a×a(a+2)/(a+1)(a-1)
=1-(a+2)/(a+1)
=[(a+1)-(a+2)]/(a+1)
=-1/(a+1)
x/(x-1)-1=2/(x+1)(x-1)
两边乘(x+1)(x-1)
x(x+1)-(x+1)(x-1)=2
x²+x-x²+1=2
x=1
经检验,x=1时公分母(x+1)(x-1)=0
是增根
舍去
所以方程无解