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MathNet 2026 — Part 08 Question 94

Math Olympiad Vault · MathNet 2026 — Part 08

Question 94

Are there natural numbers $a$ and $b$ that make the equation
$$
2 a^{2} + 1 = 4 b^{2}
$$
true? (The natural numbers are the counting numbers, $1, 2, 3, \ldots$ )