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Home » #### \( x = -1 + 2\sqrt3 \) - Nelissen Grade advocaten

#### \( x = -1 + 2\sqrt3 \) - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 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

📌 Donc, \( a = 1 \), \( b = -1 \), \( c = -6 \).

📌 a + b + c = 1 - 1 - 6 = -6

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