Question

if alpha and beta are the zeros of the polynomial X2 + X + 1 then find the sum of their reciprocals

Answer 1

f(x) = x^2 + x + 1

alpha + beeta = -b/a     and             alpha * beeta = c/a

= -1/1 = -1                         and            = 1/1 = 1

sum of reciprocals = 1/alpha + 1/beta

=  alpha + beta / alpha * beta

= -1 / 1

= -1

hope this helps u.............