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Home » To convert \(321_9\) to base ten, expand using powers of 9: - AMAZONAWS

To convert \(321_9\) to base ten, expand using powers of 9: - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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#### 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...
Évaluez \(x^3 - 3x^2 + 2x\) pour chaque racine :
Pour \(x = 2\) : \(2^3 - 3 \times 2^2 + 2 \times 2 = 8 - 12 + 4 = 0\).
Pour \(x = 3\) : \(3^3 - 3 \times 3^2 + 2 \times 3 = 27 - 27 + 6 = 6\)...
Puisque les deux racines sont valides, vérifiez la consistance de l’ex...
\(x^3 - 3x^2 + 2x = x((5x - 6) - 3x + 2) = x(2x - 4) = 2x^2 - 4x\).
Substituez \(x^2 = 5x - 6\) de nouveau : \(2(5x - 6) - 4x = 10x - 12 -...
Pour \(x = 2\), \(6(2) - 12 = 0\). Pour \(x = 3\), \(6(3) - 12 = 6\).

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