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2x平方+6x+1=0用配方法解

2024年11月22日 01:41

有4个网友回答

网友（1）：

2x²+6x+1=0
2(x²+3x)+1=0
2(x+1.5)²+1-4.5=0
(x+1.5)²=1.75
x+3/2=±√7/2
x=(±√7-3)/2

网友（2）：

两边除以2
x²+3x=-1/2
x²+3x+9/4=-1/2+9/4
(x+3/2)²=7/4
x+3/2=±√7/2
x=(-3-√7)/2，x=(-3+√7)/2

网友（3）：

2x^2+6x+1=0
2(x^2+3x)+1=0
2(x+3/2)^2-7/2=0
(x^2+3/2)^2=7/4
x^2+3/2=±√7/2
x=(-3-√7)/2，x=(-3+√7)/2

网友（4）：

x²+3x=-1/2
x²+3x+9/4=7/4
(x+3/2)²=7/4
x=-3/2+√7/2 x=-3/2-√7/2

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