4(x-2)^2=9(1-x)^2

来源:百度知道 编辑:UC知道 时间:2024/06/08 03:09:39
4(x-2)^2=9(1-x)^2

4(x-2)^2=9(1-x)^2
[2(x-2)+3(1-x)][2(x-2)-3(1-x)]=0
(-x-1)(5x-7)=0
x1=-1
x2=7/5

4(x-2)^2=9(1-x)^2
[2(x-2)]^2=[3(x-1)]^2
所以2(x-2)=3(x-1)或2(x-2)=-3(x-1)

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

2(x-2)=-3(x-1)
2x-4=-3x+3
5x=7
x=7/5

所以x=-1,x=7/5

解:4(x-2)^2-9(1-x)^2=0
(2x-4)^2-(3-3x)^2=0
(2x-4-3+3x)(2x-4+3-3x)=0
(5x-7)(-x-1)=0
∴x1=7/5 x2=-1