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Compute successive powers of 2 modulo 25: - AMAZONAWS
Compute successive powers of 2 modulo 25: - AMAZONAWS
📅 March 6, 2026
👤 scraface
Mar 06, 2026
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📌 Question: For all real numbers $ x $, find the number of functions $ f: \mathbb{R} \to \mathbb{R} $ satisfying $ f(x + y) = f(x) + f(y) + 2xy $.
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📌 \frac{(\sqrt{7} - 2)(\sqrt{7} - 3)}{(\sqrt{7} + 3)(\sqrt{7} - 3)} = \frac{(7 - 3\sqrt{7} - 2\sqrt{7} + 6)}{7 - 9} = \frac{13 - 5\sqrt{7}}{-2} = -\frac{13}{2} + \frac{5\sqrt{7}}{2}
