Question

if alpha, beta are the zeroes of the polynomial p(x) = x²+x+1, then find the sum of their reciprocal (i.e. 1/alpha + 1/ beta)

Answer 1

alpha + beta =-b/a
=-1/1
=-1
alpha × beta =c/a
1/1
=1
so
(1/alpha+1/beta)
alpha+beta/alpha×beta
-1/1
1

Answer 2

as per roots are ALPHA & BET  A then ur eqn will be =  X2 +(ALPHA+BETA)X + (ALPHA* BETA) =0
so from here answer of ur question is = 1