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Home » \(100 = 64 + x^2\). - Silent Sales Machine

\(100 = 64 + x^2\). - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Entonces, 300 productos maximizan la ganancia.

📌 Si \( \log_2(x) + \log_2(x-4) = 3 \), encuentra \( x \).

📌 Combina logaritmos: \( \log_2(x(x-4)) = 3 \).

📌 Entonces, \( x(x-4) = 2^3 = 8 \).

📌 \( x^2 - 4x - 8 = 0 \).

📌 Usando la fórmula cuadrática: \( x = \frac{4 \pm \sqrt{16 + 32}}{2} = \frac{4 \pm \sqrt{48}}{2} \).

📌 \( x = \frac{4 \pm 4\sqrt{3}}{2} = 2 \pm 2\sqrt{3} \).

📌 Dado que \( x > 4 \), \( x = 2 + 2\sqrt{3} \approx 5.46 \).

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