解方程2(x-1)²=x²-1
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解方程2(x-1)²=x²-1
解方程2(x-1)²=x²-1
解方程2(x-1)²=x²-1
2(x-1)(x-1)=(x+1)(x-1) x-1=0或 2(x-1)=x+1 所以x=1或 x=3
全展开再合并
2(x-1)²=x²-1
=2x²-4x+2=x²-1
x²-4x+3=0
(x-2)²-1=0
(x-2)²=1
x=3或者x=1
2x²-4x+2=x²-1
x²-4x+3=0
x²-4x+4=1
(x-2)²=(±1)²
x-2=1或-1
x=3或1