Question

(ii) If one root of the polynomial f(x) = 5x2 + 13x + k is reciprocal
of the other, then the value of k is_________.​

Answer 1

Answer:

Let one root of the given that other zero is Reciprocal the one zero.

So,

Other zero=1/Alpa.

Given polynomial is 5x2 +13x+k=0.

Here,

A=coefficient of x2

B=coefficient of x

And, C=constant term.

Product of zeroes =C/A

Alpha ×1/Alpha =K/5

1=K/5

K=5

Then,

We get k=5.

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