If alpha and beta are the zeros of polynomial x2+x+1 then find the sum of their reciprocals

If alpha and beta are the zeros of polynomial x2+x+1 then find the sum

1.	If alpha and beta are the zeros of polynomial x2+x+1 then find the sum of their reciprocals
Answer» Use the identity - alpha Square +beta square = (alpha +beta) whole square - 2×alpha×beta. I think it is -1.Al0ha and beta as A and BA+B=-b/a =-1/11/A+B=1/-1/1=-1 The zeroes are not possible