公式法解方程1.2x²-4x-1=02.5x+2=3x²3.(x-2)(3x-5

发布时间:2021-02-19 10:04:36

公式法解方程1.2x²-4x-1=02.5x+2=3x²3.(x-2)(3x-5)=14.x²-x+5/4=0

网友回答

1. 2x²-4x-1=0
x²-2x-1/2=0
x²-2x+1-1-1/2=0
(x-1)²-3/2=0
x-1=±√(3/2)
x1=1+√6/2
x2=1-√6/2
2. 5x+2=3x²
-3x²+5x+2=0
x²-5x/3-2/3=0
x²-5x/3+25/36-25/36-2/3=0
(x-5/6)²-49/36=0
x-5/6=±7/6
x1=2,x2=-1/3
3. (x-2)(3x-5)=1
3x²-11x+10=1
x²-11x/3+3=0
x²-11x/3+121/36-13/36=0
(x-11/6)²=13/36
x-11/6=±√13/6
x1=(11+√13)/6
x2=(11-√13)/6
4. x²-x+5/4=0
x²-x+1/4+1=0
(x-1/2)²=-1
无解.
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