Question 35

Let p and q be real numbers such that $$p\neq 0,p^{3}\neq q$$ and $$p^{3}\neq -q$$. If $$\alpha$$ and $$\beta$$ are nonzero complex numbers satisfying $$\alpha+\beta=-p$$ and $$\alpha^{3}+\beta^{3}=q$$, then a quadratic equation having $$\frac{\alpha}{\beta}$$ and $$\frac{\beta}{\alpha}$$ as its roots is


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