配方法解方程2x平方-3x-6=0

2025-03-23 02:57:23
推荐回答(2个)
回答1:

2x平方-3x-6=0
解:x²-3/2x=3
x²-3/2x+9/16=3+9/16
(x-3/4)²=57/16
x-3/4=±√57/4
x=3/4±√57/4

回答2:

2x²-3x-6=0
2(x²-3x/2-3)=0
x²-3x/2-3=0
(x-3/4)²-9/16-3=0
(x-3/4)²-57/16=0
(x-3/4)²=57/16
x-3/4=±√57/4
x1=(3+√57)/4
x2=(3-√57)/4