解方程(x-1)²/x²-(x-1)/x-2=0

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解方程(x-1)²/x²-(x-1)/x-2=0

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

解方程(x-1)²/x²-(x-1)/x-2=0
(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

(x-1)/x=-1
x-1=-x
2x=1
x=1/2