Exploring Romanian Imo Team Selection Test 1987 Problem 9

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  • A beautiful number-theoretic
  • Solving a trigonometric equation. We consider three cases separately, making various estimations along the way to deduce the ...
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  • Finding all pairs of functions satisfying given functional equation, given additionally that one of them should be strictly monotonic.

In-Depth Information on Romanian Imo Team Selection Test 1987 Problem 9

Proving an inequality with cosines. This Solving an unusual functional equation from Showing a crazy-looking divisibility from the Showing that 3ⁿ – 2ⁿ is almost never divisible by n. We use Fermat's little theorem as well as well-known fact about the greatest ...

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