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Напомню, что: ![ax^2+bx+c=a(x-x_1)(x-x_2) ax^2+bx+c=a(x-x_1)(x-x_2)](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3Da%28x-x_1%29%28x-x_2%29)
1) 6х²-5х+1
a=6 b=-5 c=1
![D=b^2-4ac=(-5)^2-4*6*1=25-24=1 \ x_1= frac{-b+ sqrt{D} }{2a}= frac{5+1}{2*6}= frac{6}{12}=0,5 D=b^2-4ac=(-5)^2-4*6*1=25-24=1 \ x_1= frac{-b+ sqrt{D} }{2a}= frac{5+1}{2*6}= frac{6}{12}=0,5](https://tex.z-dn.net/?f=D%3Db%5E2-4ac%3D%28-5%29%5E2-4%2A6%2A1%3D25-24%3D1+%5C+x_1%3D+frac%7B-b%2B+sqrt%7BD%7D+%7D%7B2a%7D%3D+frac%7B5%2B1%7D%7B2%2A6%7D%3D+frac%7B6%7D%7B12%7D%3D0%2C5+)
![x_2= frac{-b- sqrt{D} }{2a}= frac{5-1}{2*6}= frac{4}{12}=frac{1}{3} x_2= frac{-b- sqrt{D} }{2a}= frac{5-1}{2*6}= frac{4}{12}=frac{1}{3}](https://tex.z-dn.net/?f=x_2%3D+frac%7B-b-+sqrt%7BD%7D+%7D%7B2a%7D%3D+frac%7B5-1%7D%7B2%2A6%7D%3D+frac%7B4%7D%7B12%7D%3Dfrac%7B1%7D%7B3%7D)
![6x^2-5x+1=6(x- frac{1}{2} )(x- frac{1}{3} )=(x-0,5)(6x-2) 6x^2-5x+1=6(x- frac{1}{2} )(x- frac{1}{3} )=(x-0,5)(6x-2)](https://tex.z-dn.net/?f=6x%5E2-5x%2B1%3D6%28x-+frac%7B1%7D%7B2%7D+%29%28x-+frac%7B1%7D%7B3%7D+%29%3D%28x-0%2C5%29%286x-2%29)
2)![-5x^2+4x+1 -5x^2+4x+1](https://tex.z-dn.net/?f=-5x%5E2%2B4x%2B1+)
a=-5 b=4 c=1
![D=b^2-4ac=4^2-4*(-5)*1=16+20=36 \ x_1= frac{-4+6}{2*(-5)}= -frac{2}{10}=-0,2 \ x_2= frac{-4-6}{-10} =1 D=b^2-4ac=4^2-4*(-5)*1=16+20=36 \ x_1= frac{-4+6}{2*(-5)}= -frac{2}{10}=-0,2 \ x_2= frac{-4-6}{-10} =1](https://tex.z-dn.net/?f=D%3Db%5E2-4ac%3D4%5E2-4%2A%28-5%29%2A1%3D16%2B20%3D36+%5C+x_1%3D+frac%7B-4%2B6%7D%7B2%2A%28-5%29%7D%3D+-frac%7B2%7D%7B10%7D%3D-0%2C2+%5C+x_2%3D+frac%7B-4-6%7D%7B-10%7D+%3D1++)
![-5x^2+4x+1=-5(x+0,2)(x-1) -5x^2+4x+1=-5(x+0,2)(x-1)](https://tex.z-dn.net/?f=-5x%5E2%2B4x%2B1%3D-5%28x%2B0%2C2%29%28x-1%29)
1) 6х²-5х+1
a=6 b=-5 c=1
2)
a=-5 b=4 c=1
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