Question

If the zero of the polynomial x2-5x+k are the reciprocal of each other find the value of k

Answer 1

If the roots are p and q, then we have

pq = k
Since p = 1/q, pq = 1
So, k=1

x^2-5x+1 has roots

(5±√21)/2

I leave it to you to verify that the two values are reciprocals.

Answer 2

Good

Answer 3

tell question first