Question

kx²+2020x+k is a quadratic equation where k is a natural number. Find the value of k for which the roots of the equation will be reciprocal of each other.​

Answer 1

Let the zeros be α and β.

A/q,

α=1/β

or  αβ=1

or  c/a=1

now,

k/k=1

or

$\boxed{\text{k=1}}$