4x²-6x-3=0
x²-3/2x=3/4
x²正明蔽-3/2x+9/16=3/4+9/16
(x-3/4)²槐粗=21/16
x-3/4=±√(21/举州16)
所以
x=3/4+1/4√21
或
x=3/4-1/4√21
4x²尘隐-6x-3=0
4x²-6x=3
x²-(3/2)x=3/4
x²-(3/2)x+(3/4)²=(3/4)+(3/4)²扰兄槐
[x-(3/4)]²=21/16
x-(3/4)=±√(21/16)
x=(3/4)±(√21/4)
x=(3±√21)/缓友4
4x²-6x-3=0
x²-3/2x=3/4
x²-3/2x+9/16=3/4+9/16
(x-3/改罩4)²=21/升桥16
x-3/4=±√(21/16)=±√21/4
x=(3+√21)/4或x=(3-√21)/吵歼猛4
4x^2-6x-3=0
方程乘以4,得
16x^2-24x-12=0
16x^2-24x+9-21=0
(4x-3)^2=21
x1=(3+√困滚雀21)/汪早4
x2=(3-√备搏21)/4