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OMCPLP 2025 Problem 4

  • Day 2

Os reais positivos aa e bb são tais que

2a+b+4ab=10.2a + b + \frac{4}{ab} = 10.

Encontre, com justificativa, o maior valor possível de aa.

Official text Lusophon Mathematical Olympiad 2025 official paper, page 2. Quoted with source.

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