解方程8x²-2=4x
问题描述:
解方程8x²-2=4x
答
8x²-4x=2
4x²-2x=1
x²-1/2·x=1/4
x²-1/2·x+1/16=1/4+1/16
(x-1/4)²=4/16+1/16
(x-1/4)²=5/16
x-1/4=±√5/4
x=1/4±√5/4
X1=(1+√5)/4,X2=(1-√5)/4