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Home » According to the problem, \(\fracd60 + \fracd40 = 5\). - IX Labs

According to the problem, \(\fracd60 + \fracd40 = 5\). - IX Labs

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 \(a^2 = 25\), \(b^2 = 0\) gives \((a, b) = (\pm 5, 0)\)

📌 Counting all combinations for \((a, b)\):

📌 \((0, \pm 5)\) gives 2 points: \((3, 9), (3, -1)\)

📌 \((\pm 4, \pm 3)\) gives 8 points: \((7, 7), (7, 1), (-1, 7), (-1, 1), (7, -2), (7, -5), (-1, -2), (-1, -5)\)

📌 \((\pm 3, \pm 4)\) gives 8 points: \((6, 8), (6, 0), (0, 8), (0, 0), (6, -1), (6, -6), (0, -1), (0, -6)\)

📌 \((\pm 5, 0)\) gives 2 points: \((8, 4), (-2, 4)\)

📌 Total integer points: \(2 + 8 + 8 + 2 = 20\).

📌 Thus, the number of integer coordinate points on the circle is:

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