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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Solution

The correct option is B
2

Since,roots are reciprocal of eachother so their product will equate to 1.

$\frac{4 k}{k^{2} + 4}$ = 1.

$k^{2} + 4 - 4 k$ = 0

$(k - 2)^{2}$ = 0, k =2.

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Similar questions

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,

If one zero of polynomial f(x) = (k² + 4)x² + 13x + 4k is reciprocal of the other, then k =

p (x) = (k^{2} + 4) x^{2} + 13 x + 4 k

k = 2

x - α

p (α)

p (α) = 0

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(k^{2} + 1) x^{2} + 13 x + 4 k = 0

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\frac{1}{6}

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