Question

if one zero of polynomial x²+4x-k is resiprocal of other,then find value of k

Answer 1

f (x)=x^2+4x-k
f (1)=1^2+4×1-k
=5-k
=k=5

x=1,k=5
1^2+4×1-5=5-5=0

Answer 2

let one zero be p so other is 1/p
we know p×1/p = c/a
1=-k
k=-1