Find $k$ , if the sum of the roots of the quadratic equation $4 x^{2} + 8 k x + k + 9 = 0$ is equal to their product.

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Solution

The correct option is D $- 1$
For the equation, $4 x^{2} + 8 k x + k + 9 = 0$
Sum of roots $=$ Product of roots
$\frac{- 8 k}{4} = \frac{k + 9}{4}$
$- 9 k = 9$
$∴ k = - 1$

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