用因式分解法解4(x+1)2 = 9(2x-5)2

问题描述:

用因式分解法解4(x+1)2 = 9(2x-5)2

[2(X+1)]^2-[3(2X-5)]^2=0
[2(X+1)+3(2X-5)][2(X+1)-3(2X-5)]=0
即(8X-13)(-4X+17)=0
X1=13/8,X2=17/4