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Home » starbucks introduces a new exclusive drink for target's holiday shoppers - IQnection

starbucks introduces a new exclusive drink for target's holiday shoppers - IQnection

📅 May 5, 2026 👤 scraface

May 05, 2026

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

📌 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’expression : \(x^3 - 3x^2 + 2x = x(x^2 - 3x + 2)\). Étant donné \(x^2 - 5x + 6 = 0\), substituez \(x^2 = 5x - 6\) :

📌 \(x^3 - 3x^2 + 2x = x((5x - 6) - 3x + 2) = x(2x - 4) = 2x^2 - 4x\).

📌 Substituez \(x^2 = 5x - 6\) de nouveau : \(2(5x - 6) - 4x = 10x - 12 - 4x = 6x - 12\).

📌 Pour \(x = 2\), \(6(2) - 12 = 0\). Pour \(x = 3\), \(6(3) - 12 = 6\).

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