Question

If one zero of polynomial f(y) = (k^2 + 4) y^2 + 13y + 4k is the reciprocal of the other, then value of k is

Answer 1

let zeroes be x,1/x.

therofore x+1/x=-13/k^2+4

and x*1/x=4k/k^2+4

k^2+4=4k

k=2