olymmath

KMO 2006 Problem 1

    Given that for reals a1,⋯ ,a2004,a_1,\cdots, a_{2004}, equation x2006−2006x2005+a2004x2004+⋯+a2x2+a1x+1=0x^{2006}-2006x^{2005}+a_{2004}x^{2004}+\cdots +a_2x^2+a_1x+1=0 has 20062006 positive real solution, find the maximum possible value of a1.a_1.

    Dataset text AI-MO AoPS. Quoted with source.

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