解一元二次方程:5x²-8x=-1

问题描述:

解一元二次方程:5x²-8x=-1

5x²-8x+1=0
x²-8/5x+1/5=0
x²-8/5x+(16/25)-(16/25)+1/5=0
(x-4/5)²-11/25=0
(x-4/5)²=11/25
x-4/5=±1/5*根号11
x1=4/5+1/5*根号11
x2=4/5-1/5*根号11