Question

 If one zero of the polynomial f(x) = (k2+4)x2+13x +4k is reciprocal of he other, then find thevalue of k  

Answer 1

Since one zero is reciprocal of other,
product of zeros is 1.
i.e., 4k / (k^2 + 4) = 1
k^2 - 4k + 4 = 0
(k - 2)^2 = 0
k = 2

Answer 2

I hope this helps you