2(2X-3)²=4X²-9
2(2X-3)²-(4X²-9)=0
2(2X-3)-(2X-3)(2X+3)=0
(2X-3)(4X-6-2X-3)=0
(2X-3)(2X-9)=0
X1=3/2,X2=9/2
2(2x-3)²=4x²-9
解:8x²-24x+18-4x²+9=0
4x²-24x+9=0
(2x-3)²=0
2x=3
x=1.5
2(2x-3)²=4x²-9
解:8x²-24x+18-4x²+9=0
4x²-24x+9=0
(2x-3)²=0
∴x=3/2
2(2x-3)^2=4x^2-9
2(4x^2-12x+9)=4x^2-9
4x^2-24x+27=0
(2x-3)(2x-9)=0
x=3/2 x=9/2
X1=4.5 x2=1.5
x=3/2或x=9/2