Question

if zeros of the polynomial x2 +4x +2a are alpha and2/alpha find the value of a​

Answer 1

$given \: polynomial \: is \\ \\ {x}^{2} + 4x + 2a \\ \\ wkt \: if \: \alpha \: and \: \beta \: are \: roots \: then \\ \\ \alpha + \beta = - 4 \\ \\ \alpha \beta = 2a \\ \\ given \: \beta = 2 \alpha \\ \\ = > \alpha = - \frac{4}{3} \\ \\2 { \alpha }^{2} = 2a \\ \\ a = { \alpha }^{2} \\ \\ a = \frac{16}{9}$

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