Let p and q be real number such that ...

Let p and q be real number such that `p ne 0 , p^(3) ne q` and `p^(3) ne -q`. If `alpha` and `beta` non- zero complex number satifying `alpha+ beta= -p` and `alpha^(3) + beta^(3) =q` then a quadratic equation having `(alpha)/(beta)` and `(beta) /(alpha)` as its roots is :

`(p^(3)+q) x^(2)-(p^(3)+2 q) x+(p^(3)+q)=0`

`(p^(3)+q) x^(2)-(p^(3)-2 q) x+(p^(3)+q)=0`

`(p^(3)-q) x^(2)-(5 p^(3)-2 q) x+(p^(3) div q)=0`

`(p^(3)-q) x^(2)-(5 p^(3)+2 q) x+(p^(3)-q)=0`

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