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Home » But instead, let’s use **generating functions with exclusion**, or a **reduced method**. - Upplift

But instead, let’s use generating functions with exclusion, or a reduced method. - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 #### \(2\sqrt{6}\)

📌 Solve for \(x\): \(\log_2(x^2 - 5x) = 3\).

📌 Rewrite: \(x^2 - 5x = 2^3 = 8\).

📌 So, \(x^2 - 5x - 8 = 0\).

📌 Use quadratic formula: \(x = \frac{5 \pm \sqrt{25 + 32}}{2}\).

📌 \(x = \frac{5 \pm \sqrt{57}}{2}\).

📌 Approximately, \(x \approx 6.27\) or \(x \approx -1.27\).

📌 Only \(x \approx 6.27\) is valid since \(x^2 - 5x > 0\).

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