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Israel 2013 Q3 - Sum arctans of polynomial roots

Source: Israel National Olympiad 2013 Q3

August 8, 2019
algebrapolynomialArctangent

Problem Statement

Let p(x)=x4−5773x3−46464x2−5773x+46p(x)=x^4-5773x^3-46464x^2-5773x+46. Determine the sum of arctan⁡\arctan-s of its real roots.
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