If one of the zeroes of the polynomial $g (x) = (k^{2} + 4) x^{2} + 13 x + 4 k$ is reciprocal of the other, then value of k is,

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Solution

The correct option is C
2

The product of the roots will be 1. So, $\frac{4 k}{k^{2} + 4}$ = 1

By further solving, we get k = 2.

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If one of the zeroes of the polynomial g(x) = $(k^{2} + 4) x^{2} + 13 x + 4 k$ is reciprocal of the other then k is

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