China Math Olympiad | A Nice Algebra Problem
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- Опубликовано: 4 окт 2024
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It is well known (and easy to prove) that n-digit numbers of the form 66...67 lead to number of the form 44...488..9 n 4's, n-1 8's and one 9. So the answer to the problem is 66667. Similarly, 333...4 squared has the form 1111...55556.
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Sqrt[4444488889]=66667 and not -66667 because of principle root.
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