解方程2(x-1)²=4x-4

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解方程2(x-1)²=4x-4

解方程2(x-1)²=4x-4
解方程2(x-1)²=4x-4

解方程2(x-1)²=4x-4
2(x-1)²=4x-4
2(x-1)²=4(x-1)
2(x-1)²-4(x-1)=0
2(x-1)[(x-1)-2]=0
2(x-1)(x-3)=0
x1=1,x2=3
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2(x-1)²=4x-4
2(x-1)²-4(x-1)=0
2(x-1)(x-1-2)=0
x1=1 x2=3

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两边除以2
(x-1)²=2x-2=2(x-1)
(x-1)²-2(x-1)=0
(x-1)(x-1-2)=0
(x-1)(x-3)=0
x=1,x=3

2(x-1)²=4x-4
(x-1)²=2(x-1)
(x-1)²-2(x-1)=0
(x-1)(x-3)=0
x=1
x=3