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min (a-1)(a-3)(a-4)(a-6)+10 1987 Greece MO Grade X p3

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September 6, 2024
algebrainequalities

Problem Statement

Prova that for any real aa, expresssion A=(a−1)(a−3)(a−4)(a−6)+10A=(a-1)(a-3)(a-4)(a-6)+10 is always positive. What is the minimum value that expression AA can take and for which values of aa?
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