Question

解方程(x-1)2/x2-(x-1)/x-2=0

Answer 1

令a=(x-1)/x

则a2-a-2=0

(a-2)(a+1)=0

a=2,a=-1

(x-1)/x=2

x-1=2x

x=-1

(x-1)/x=-1

x-1=-x

x=1/2

所以x=-1,x=1/2