Ifα,β are the zeros of the polynomial 2x2+7x+5 then find the value o

1.	Ifα,β are the zeros of the polynomial 2x2+7x+5 then find the value of α+β+αβ.
Answer» $clearly \: \\ sum \: of \: zeroes \: = \frac{ - b}{a} \\ \alpha + \beta = \frac{ - 7}{2} \\ and \: \\ product \: of \: zeroes \: = \frac{c}{a} \\ \alpha \beta = \frac{5}{2} \\ hence \: \alpha + \beta + \alpha \beta = \frac{ - 7}{2} + \frac{5}{2} = - \frac{2}{2} \\ = - 1$

Ifα,β are the zeros of the polynomial 2x2+7x+5 then find the value of α+β+αβ.

Answer»

$clearly \: \\ sum \: of \: zeroes \: = \frac{ - b}{a} \\ \alpha + \beta = \frac{ - 7}{2} \\ and \: \\ product \: of \: zeroes \: = \frac{c}{a} \\ \alpha \beta = \frac{5}{2} \\ hence \: \alpha + \beta + \alpha \beta = \frac{ - 7}{2} + \frac{5}{2} = - \frac{2}{2} \\ = - 1$

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Ifα,β are the zeros of the polynomial 2x2+7x+5 then find the value of α+β+αβ.

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