Question

If alpha and beta are the zeroes of p(x)=x^2+x+1 then 1÷alpha+1÷beta=

Answer 1

p(x) = x² + x + 1

alpha, beta are zeros.  So   α + β = -1    and  αβ = 1

1/α  +  1/β =  (α+β) / (αβ)  =  -1