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Home » Using geometric series sum formula: - Esdistancia

Using geometric series sum formula: - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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📌 Factorisez le trinôme :

📌 Donc, \( n = 6 \) ou \( n = -7 \).

📌 Les entiers sont \( 6 \) et \( 7 \) ou \(-7\) et \(-6\).

📌 Question:** Une équation quadratique \( ax^2 + bx + c = 0 \) a pour racines 3 et -2. Trouvez la valeur de \( a + b + c \) si \( a = 1 \).

📌 Solution:** La somme des racines est donnée par :

📌 + (-2) = \frac{-b}{a} \Rightarrow 1 = \frac{-b}{1} \Rightarrow b = -1

📌 Le produit des racines est :

📌 \times (-2) = \frac{c}{a} \Rightarrow -6 = c

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