9(x-1)的平方=(2x+1)的平方 用因式分解发来解

快,急要
2025-06-26 03:15:59
推荐回答(4个)
回答1:

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

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

(x-4)(5x-2)=0

x=4,或x=2/5;

回答2:

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

回答3:

两端展开9x^2-18x+9=4x^2+4x+1推出
5x^2-22x+8
=(5x-2)(x-4)=0
所以x=2/5或x=4

回答4:

9(x-1)^2=(2x+1)^2 =>
9(x-1)^2-(2x+1)^2=0
(3(x-1)+2x+1)(3(x-1)-2x-1)=(5x-2)(x-4)=0
x=2/5或x=4