Question

if the zeros of polynomial x square - 5 x + K are the reciprocal of each other then find the value of k

Answer 1

let one of the zero is $\alpha$and other is
$\frac{1}{ \alpha }$
from the formula we know that Multiplication of zeros=$\frac{c}{a}$
$\alpha \times \frac{1}{ \alpha } = \frac{k}{1} \\ k = 1$