Question

if alpha and beta are the zeros of the polynomial p(x) = x^2 + X + 1 then find the sum of their reciprocals that is one/ alpha + one /<br /> beta

Answer 1

sum of zeros = - b/a =-1 =alpha+beta
product of zeros = c/a = 1 = alpha×beta
1/alpha + 1/beta
= alpha + beta /alpha× beta
= -1/1
= -1. Ans.