The ratio of the sum and the product of the roots of $5 x^{2} - 14 x + 8 = 0$ is_:_.

[Ratio in its reduced form]

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Solution

For, $5 x^{2} - 14 x + 8 = 0$

$S u m o f t h e r o o t s = - \frac{(- 14)}{5} = \frac{14}{5}$

$P r o d u c t o f t h e r o o t s = \frac{8}{5}$

Thus, sum of roots : product of roots = $\frac{14}{5} : \frac{8}{5} = 14 : 8 = 7 : 4$

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