用配方法解方程: 2x눀-8x+7=0

2025-03-07 02:10:22
推荐回答(4个)
回答1:

2x²-8x+7=0
2(x²-4x+4)-1=0
x²-4x+4=1/2
(x-2)²=1/2
x-2=±√2/2
x=2±√2/2

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回答2:

解: 系数化为1:
X²-4x+3.5=0
移项:X²-4X=-3.5
配方:x²-4x+﹙-2﹚²=-3,5+﹙﹣2﹚²
﹙ X-2﹚²=1/2
开平方:X-2=±√2/2
∴X1=2+√2/2,,X2=2-√2/2

回答3:

2x²-8x+7=0
解2(x²-4x+4)-1=0
x²-4x+4=1/2
(x-2)²=1/2
x-2=±(根号1/2)=±(根号2)/2
X1=2+√2/2,,X2=2-√2/2

回答4:

2x²-8x+7=0
x²-4x+7/2=0
x²-4x+4=1/2
(x-2)²=1/2
x-2=±√2/2
x1=2+√2/2,x2=2-√2/2