Let p and q be real numbers such that p≠0, p3≠2q and p3≠−q. I – InterviewSolution

InterviewSolution

1.	Let p and q be real numbers such that p≠0, p3≠2q and p3≠−q. If α and β are non zero 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 $p \neq 0$ , $p^{3} \neq 2 q$ and $p^{3} \neq - q$ . If $α$ and $β$ are non zero 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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