(1)4x²-6x-3=0
4x²-6x=3
x²-3x/2=3/4
x²-3x/2+9/16=3/4+9/16
(x-3/4)²=21/16
x-3/4=±√21/4
x1=(3-√21)/4 x2=(3+√21)/4
(2)x²+4x-9=2x-11
x²+2x=-2
x²+2x+1=-2+1
(x+1)²=-1
∵左边=(x+1)²>=0
右边=-1
∴方程没有实数解
(3)x(x+4)=8x+12
x²+4x=8x+12
x²-4x-12=0
(x+2)(x-6)=0
x1=-2,x2=6