Question

if α and β are the zeros of polynomial 2ysquare+7y+5,write the value of α+β+αβ

Answer 1

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Answer 2

${2y}^{2} + 7y + 5$
a = 2, b = 7, c = 5
α + β
$= \frac{ - b}{a} \\ = \frac{ - 7}{2}$
αβ
$= \frac{c}{a} \\ = \frac{5}{2}$
α + β + αβ
$= \frac{ - 7}{2} + \frac{5}{2} \\ = \frac{ - 2}{2} = - 1$
α + β + αβ = -1

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