解方程(x-1)²/x²-(x-1)/x-2=0

来源：学生作业学帮网编辑：学帮网时间：2024/06/01 13:22:52

(x-1)²/x²-(x-1)/x-2=0
[(x-1)/x]²-(x-1)/x-2=0
十字相乘
[(x-1)/x-2][(x-1)/x+1]=0
∴
(x-1)/x=2
x-1=2x
x=-1
或
(x-1)/x=-1
x-1=-x
2x=1
x=1/2