公式法解方程1.2x²-4x-1=02.5x+2=3x²3.(x-2)(3x-5)=14.x&sup
1个回答

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.