If α and β are the roots of the equations x2+px+q=0, x2008+p1004x100 – InterviewSolution

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1.	If α and β are the roots of the equations x2+px+q=0, x2008+p1004x1004+q1004=0, then αβ and βα are the roots of xn+1+(x+1)n=0. The value of n must be
Answer» If $α$ and $β$ are the roots of the equations $x^{2} + p x + q = 0,$ $x^{2008} + p^{1004} x^{1004} + q^{1004} = 0,$ then $\frac{α}{β}$ and $\frac{β}{α}$ are the roots of $x^{n} + 1 + (x + 1)^{n} = 0 .$ The value of $n$ must be

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