x²-2x=1用配方法(x+3 )²-2(x+3 )=0
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![x²-2x=1用配方法(x+3 )²-2(x+3 )=0](/uploads/image/z/10194244-52-4.jpg?t=x%26%23178%3B-2x%3D1%E7%94%A8%E9%85%8D%E6%96%B9%E6%B3%95%EF%BC%88x%2B3+++%EF%BC%89%26%23178%3B-2%EF%BC%88x%2B3+++%EF%BC%89%3D0)
x²-2x=1用配方法(x+3 )²-2(x+3 )=0
x²-2x=1用配方法
(x+3 )²-2(x+3 )=0
x²-2x=1用配方法(x+3 )²-2(x+3 )=0
x²-2x+1=2
(x-1)²=2
x-1=± √2
∴x=1+√2 x=1-√2
(x+3 )²-2(x+3 )=0
(x+3)(x+3-2)=0
(x+3)(x+1)=0
∴x=-3 x=-1