解方程(x-3)²+1=2(x-3)

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解方程(x-3)²+1=2(x-3)
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解方程(x-3)²+1=2(x-3)
解方程(x-3)²+1=2(x-3)

解方程(x-3)²+1=2(x-3)

(x-3)²+1=2(x-3)
(x-3)²-2(x-3)+1=0
[(x-3)-1]²=0
(x-4)²=0
∴x-4=0
∴x=4

(x-3)²+1=2(x-3)
x=4

(x-3)²+1=2(x-3)
x²-6x+9+1=2x-6
x²-8x+16=0
(x-4)²=0
x=4

解方程: (x-3)^2+1=2(x-3)=0.
(x-3)^2-2(x-3)+1=0.
分解因式:(x-3-1)^2=0.
(x-4)^2=0.
x1=x2=4 (重根)。