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Home » The possible values of \( b \) are 8 and -2. Their sum is: - AMAZONAWS

The possible values of \( b \) are 8 and -2. Their sum is: - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 x^2 + 2x - 3 = 8

📌 x^2 + 2x - 11 = 0

📌 x = \frac{-2 \pm \sqrt{4 + 44}}{2} = \frac{-2 \pm \sqrt{48}}{2}

📌 x = \frac{-2 \pm 4\sqrt{3}}{2} = -1 \pm 2\sqrt{3}

📌 Valid solution (since \(x > 1\)):

📌 x = -1 + 2\sqrt{3}

📌 A company's profit function is modeled by \(P(x) = -5x^2 + 150x - 1000\), where \(x\) is the number of units sold. Find the number of units that maximizes profit.

📌 Use the vertex formula \(x = -\frac{b}{2a}\):

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