Let α be the only real root of the equation x2011+x2010+⋯+x3+x2+x+a – InterviewSolution

1.	Let α be the only real root of the equation x2011+x2010+⋯+x3+x2+x+a0=0, where a0 is a positive number less than 1, then tan−1(α)+tan−1(1α) is equal to
Answer» Let $α$ be the only real root of the equation $x^{2011} + x^{2010} + \dots + x^{3} + x^{2} + x + a_{0} = 0$ , where $a_{0}$ is a positive number less than 1, then $t a n^{- 1} (α) + t a n^{- 1} (\frac{1}{α})$ is equal to

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