计算:2(x-1)²=x²-1

问题描述:

计算:2(x-1)²=x²-1

2(x-1)²=x²-1
2(x²-2x+1)=x²-1
2x²-x²-4x+2+1=0
x²-4x+3=0
(x-1)(x-3)=0
x=1或x=3

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-2|=1
x=3或x=1