Comment déterminer un inverse modulo un entier n ?
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Maths expertes Terminale 🔥 Lemme de Gauss inverse modulaire en 1 exo \t1.\tRésoudre 7(x − 3) = 5(y − 2) dans ℤ² \t2.\tEn déduire les couples (x, y) ∈ ℤ² tels que 7x ≡ 1 [5] ✅ Q1 — Lemme de Gauss (PGCD(7, 5) = 1) → x = 3 5k, y = 2 7k ✅ Q2 — Le lien caché : 7x ≡ 1 [5] ⟺ 7x − 1 = 5y’ ⟺ 7(x − 3) = 5(y − 2) Tu vois le lien entre les deux questions ? 👇 Commente 💡 Indice : 7·3 = 21 = 5·4 1, donc 7·3 ≡ 1 [5]. C’est tout l’intérêt ! #mathstiktok #mathexpertes #terminale #arithmétique #lemmedeGauss
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