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2025 SSMO Tiebreaker Round Problems/Problem 2

Revision as of 11:34, 9 September 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== Determine the largest positive integer <math>n</math> satisfying <cmath>\frac{\sqrt{n+1} - \sqrt{n}}{\sqrt{n+2026} - \sqrt{n+2025}} > 2.</cmath> ==Solution==")
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Problem

Determine the largest positive integer $n$ satisfying \[\frac{\sqrt{n+1} - \sqrt{n}}{\sqrt{n+2026} - \sqrt{n+2025}} > 2.\]

Solution

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