Question

If alpha and beta are zeros of polynomial 5ysquare _ 7y + 1 find the value of 1/ alpha and 1/ beta

Answer 1

$\alpha + \beta = \frac{7}{5} and \: \alpha \beta = \frac{1}{5}$
$now \: \: \frac{1}{ \alpha } + \: \frac{1}{ \beta } \: = \frac{ \alpha + \beta }{ \alpha \beta } = \: \frac{ \frac{7}{5} }{ \frac{1}{5} } = 7$
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