因式分解法计算1/2(x-2)²+x-2=01/3(x-4)²=3

问题描述:

因式分解法计算
1/2(x-2)²+x-2=0
1/3(x-4)²=3

1/2(x-2)²+x-2=0
(x-2)(1/2x-1+1)=0
1/2x(x-2)=0
x=0,x=2
1/3(x-4)²=3
(x-4)^2=9
x^2-8x+16=9
x^2-8x+7=0
(x-7)(x-1)=0
x=7,x=1

1/2(x-2)²+x-2=0
(x-2)^2+2(x-2)=0
(x-2)(x-2+2)=0
x(x-2)=0
x1=0,x2=2
1/3(x-4)²=3
(x-4)^2-9=0
(x-4+3)(x-4-3)=0
(x-1)(x-7)=0
x1=1,x2=7