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AIME 2014a Problem 9

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Let x1<x2<x3x_1<x_2<x_3 be the three real roots of the equation 2014x3−4029x2+2=0\sqrt{2014}x^3-4029x^2+2=0. Find x2(x1+x3)x_2(x_1+x_3).

Dataset text AIME 1983 to 2026. Quoted with source.

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