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📅 March 15, 2026 👤 scraface

Mar 15, 2026

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📌 Premier terme 15, dernier 90, raison 15. Résolvez \(15 + (n-1) \times 15 = 90 \Rightarrow n = 6\).

📌 Somme = \(\frac{6}{2} \times (15 + 90) = 3 \times 105 = 315\).

📌 Somme totale = \(1683 + 950 - 315 = 2318\).

📌 Si \(x^2 - 5x + 6 = 0\), trouvez la valeur de \(x^3 - 3x^2 + 2x\).

📌 Résolvez l’équation quadratique \(x^2 - 5x + 6 = 0\) par factorisation : \((x-2)(x-3) = 0\), donc \(x = 2\) ou \(x = 3\).

📌 Évaluez \(x^3 - 3x^2 + 2x\) pour chaque racine :

📌 Pour \(x = 2\) : \(2^3 - 3 \times 2^2 + 2 \times 2 = 8 - 12 + 4 = 0\).

🔥 Popular Posts

g(y) = 2(y^2 + 2y + 1) - 5(y + 1) + 1 = 2y^2 + 4y + 2 - 5y - 5 + 1 = 2...
Now, substitute $ y = x^2 + 1 $ to find $ g(x^2 + 1) $:
g(x^2 + 1) = 2(x^2 + 1)^2 - (x^2 + 1) - 2 = 2x^4 + 4x^2 + 2 - x^2 - 1...
The final answer is $ \boxed{2x^4 + 3x^2 - 1} $.
Question: An angel investor analyzes a medical startup's growth, model...
Solution: Let $ y = x^2 + 2 $. Then $ x^2 = y - 2 $. Express $ g(y) $...
g(y) = 3x^6 - 4x^4 + 5x^2 - 2 = 3(x^2)^3 - 4(x^2)^2 + 5x^2 - 2 = 3(y -...
3(y^3 - 6y^2 + 12y - 8) - 4(y^2 - 4y + 4) + 5y - 10 - 2 = 3y^3 - 18y^2...
Thus, $ g(x^2 - 2) = 3(x^2 - 2)^3 - 22(x^2 - 2)^2 + 57(x^2 - 2) - 52 $...
3(x^6 - 6x^4 + 12x^2 - 8) - 22(x^4 - 4x^2 + 4) + 57x^2 - 114 - 52 = 3x...

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