Question

if one zero of the polynomial f(x)=(k²+4)x²+13x+4k is the reciprocal of the other then k=​

Answer 1

Answer:

let one zero be a then the other will new/a

clearly from the above step we can see that the product of the roots is so c/a=7

4k=k²+4

k²-4k+4=0

(k-2) (k-2)

hence=2