![11,25m^2+12m+3,2=0 \\ D=b^2-4ac=144-144=0](https://tex.z-dn.net/?f=11%2C25m%5E2%2B12m%2B3%2C2%3D0+%5C%5C+D%3Db%5E2-4ac%3D144-144%3D0)
<span>Так как дискриминант равен нулю то, квадратное уравнение имеет один действительный корень:
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![m= \frac{-b}{4a} = \frac{-12}{22,5} =- \frac{8}{15}](https://tex.z-dn.net/?f=m%3D+%5Cfrac%7B-b%7D%7B4a%7D+%3D+%5Cfrac%7B-12%7D%7B22%2C5%7D+%3D-+%5Cfrac%7B8%7D%7B15%7D+)
Откуда наше уравнение можно разложить на:
![11,25m^2+12m+3,2=11,25(m+ \frac{8}{15} )^{2}](https://tex.z-dn.net/?f=11%2C25m%5E2%2B12m%2B3%2C2%3D11%2C25%28m%2B+%5Cfrac%7B8%7D%7B15%7D+%29%5E%7B2%7D+)
(7х-2)(7х+1,4)=0
7х-2=0 или 7х+1,4=0
7х=2 7х=-1,4
х=2/7 х=-1,4/7
х=-0,2
х1=2/7
х2=-0,2(получается так)))
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0,01ab × 100a = a²b
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