Let p and q be real numbers such that p≠0,p3≠q and p3≠−q . If – InterviewSolution

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1.	Let p and q be real numbers such that p≠0,p3≠q and p3≠−q . If α and β are nonzero complex numbers satisfying α+β=−p and α3+β3=q , then a quadratic equation having αβ and βα as its roots is -
Answer» Let p and q be real numbers such that p $\neq 0, p^{3} \neq q$ and $p^{3} \neq - q$ . If $α$ and $β$ are nonzero complex numbers satisfying $α + β = - p$ and $α^{3} + β^{3} = q$ , then a quadratic equation having $\frac{α}{β}$ and $\frac{β}{α}$ as its roots is -

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