解方程4x²-2x-1=0
问题描述:
解方程4x²-2x-1=0
答
配方法
4x²-2x-1=0
(2x)²-2×2x×1/2+(1/2)²-1/4-1=0
(2x-1/2)²-5/4=0
(2x-1/2)²=5/4
2x-1/2=±√5/2
2x=1/2±√5/2
x=1/4±√5/4