The equation is a cubic polynomial .: it has 3 roots. Let the 3 roots be α,β,γ.
But one of the roots is equal to the reciporical of the other, .: the 3 roots must be α,1/α,γ
a) The product of the roots = -d/a
α.(1/α).γ=-b
.: γ=-b
b) The sum of the roots = -b/a
α +1/α + γ = -a
α...