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Let alpha be the only real root of the e...

Let `alpha` be the only real root of the equation `x^(2011) +x^(2010)+x^(2009)+......+x^3+x^2+x+a_0=0` , where `a_0` is a positive number less than 1 then `tan^(-1)alpha + tan^(-1)(1/alpha)` is equal to

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