9(x-4)^2=4(1-2x)^2用因式分解法解答_数学解答

9(x-4)^2=4(1-2x)^2用因式分解法解答

人气：174 ℃　时间：2020-02-03 22:17:16

解答

9(x-4)^2=4(1-2x)^2
9(x-4)^2-4(1-2x)^2=0
[3(x-4)-2(1-2x)][3(x-4)+2(1-2x)]=0
(3x-12-2+4x)(3x-12+2-4x)=0
(7x-14)(-x-10)=0
(x-2)(x+10)=0
x=2或x=-10