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

Open in App

Solution

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

Sum of the roots = $- \frac{(- 14)}{5} = \frac{14}{5}$

Product of the roots = $\frac{8}{5}$

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

Suggest Corrections

Similar questions

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

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]

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

Which of the following denotes the ratio of the sum and the product of the roots of $5 x^{2} - 14 x + 8 = 0$ ?

5 x^{2} - 2 x - 7 = 0

Join BYJU'S Learning Program