Question

if one zero of the polynomial 15x2 + 14x-- k is reciprocal of the other find the value of k

Answer 1

Howdy!!!

your answer is ----

Let a and 1/a be the zeroes of given polynomial .

Given, f(x) = 15x^2 + 14x - k

so, a×1/a = -k/15

=> -k/15 = 1

=> k = -15


hope it help you

Answer 2

Hi there!

Given poly. :-
15x² + 14x - k = 0

Let $\alpha$ be one zero n' 1 / $\alpha$ be other zero of poly.

ATQ,

Product of roots = c / a

$\alpha$ × 1 / $\alpha$ = -k / 15

1 = -k / 15

-k = 15

Therefore, k = -15

Hence, The required answer is :- k = -15

Hope it helps! :)