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2023 MOAA Gunga P13

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October 15, 2023
MOAA 2023

Problem Statement

Let α\alpha, β\beta and γ\gamma be the roots of the polynomial 2023x3−2023x2−12023x^3-2023x^2-1. Find 1α3+1β3+1γ3\frac{1}{\alpha^3}+\frac{1}{\beta^3}+\frac{1}{\gamma^3}.
Proposed by Andy Xu
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