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in Polynomials by (36.4k points)
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If one root of the polynomial f (x) = 5x2 + 13x + k is reciprocal of the other, then the value of k is

A. 0

B. 5

C. \(\frac{1}{6}\)

D. 6

1 Answer

+1 vote
by (38.0k points)
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Best answer

Given;

f(x) = 5x2 + 13x + k

Let suppose roots are R and 1/R

Product of the roots = C/R = R×1/R

R×1/R = k/5

1 = k/5

So,

Here k = 5

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