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Home » \[ a^2 + 5^2 = 13^2 \] - AMAZONAWS

\[ a^2 + 5^2 = 13^2 \] - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 \[ y = 3\left(\frac{27}{11}\right) - 5 = \frac{81}{11} - \frac{55}{11} = \frac{26}{11} \]

📌 \[ x = \frac{27}{11}, \quad y = \frac{26}{11} \]

📌 #### \(\left(\frac{27}{11}, \frac{26}{11}\right)\)

📌 \(\log_2(x) + \log_2(x - 2) = 3\) のとき、\(x\) の値を求めなさい。

📌 \[ \log_2(x) + \log_2(x - 2) = \log_2[x(x - 2)] \]

📌 \[ \log_2[x(x - 2)] = 3 \]

📌 \[ x(x - 2) = 2^3 = 8 \]

📌 \[ x = \frac{2 \pm \sqrt{(-2)^2 - 4(1)(-8)}}{2(1)} = \frac{2 \pm \sqrt{4 + 32}}{2} = \frac{2 \pm \sqrt{36}}{2} = \frac{2 \pm 6}{2} \]

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