Q. 45.0( 1 Vote )

# If one zero of the polynomial p(x) = (k + 4)x2 + 13x + 3k is reciprocal of the other, then k is equal toA. 2B. 3C. 4D. 5

Given: A Quadratic equation p(x) = (k + 4)x2 + 13x + 3k

Required: To find the value of k

Let the roots of the given Quadratic equation be: and

Product of roots of the given Quadratic equation is

We know that, Product of roots of a given Quadratic equation is

3k = k + 4

2k = 4

k = 2

The value of k is 2

Correct option is – Option (A)

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