arithmétique lycée recueilchapitre 2exercice 2.2principe extrémal
No quadruples
Recueil COMIMa — Techniques de résolution de problèmes · 2026 · Madagascar · ★★★★★
Statement
Prouver qu'il n'y a pas de quadruplets d'entiers naturels positifs $(x, y, a, b)$ tels que : \[ x^2 + y^2 = 3(a^2 + b^2). \]
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Origin : Recueil COMIMa — Techniques de résolution de problèmes · 2026 · Madagascar
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