Find the zeroes of the quadratic polynomial y^2+7y+10 and verify the relationship between the zeroes and the coefficient

Question

Find the zeroes of the quadratic polynomial y^2+7y+10 and verify the relationship between the zeroes and the coefficient

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Adalyn 1 week 2021-09-11T11:33:44+00:00 1 Answer 0 views 0

Answers ( )

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    2021-09-11T11:35:36+00:00

    Step-by-step explanation:

     {y}^{2}  + 7y + 10 = 0 \\  \\  {y}^{2}  + 5y + 2y + 10 = 0 \\  \\ y(y + 5) + 2(y + 5) = 0 \\  \\ (y + 2)(y + 5) = 0 \\  \\ y  =  -  2............y =  - 5 \\  \\ let \:  \alpha  =  - 2........... \beta  =  - 5 \\  \\  \alpha  +  \beta  =  \frac{ - b}{a}  \\  \\  - 2 - 5 =   - 7 \\  \\  - 7 =  - 7................proved \\  \\  \alpha  \times  \beta  =  \frac{c}{a}  \\  \\ ( - 2)( - 5) = 10 \\  \\ 10 = 10.........proved

    Hope it helps…..

    mark it as brainliest….

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