China Math Olympiad | A Nice Algebra Problem

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[@YAWTon]

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.

[@user-vz4ui6yz2k]

Спасибо за интересные задачи!

[@Buy_YT_Views_516]

This is a hidden gem.

[@snarkybuttcrack]

what crap, somebody started with the answer and worked backwards in order to demonstrate a method that only works with this problem

[@Ayanokoji-k-x2b]

❤❤❤

[@RyanLewis-Johnson-wq6xs]

Sqrt[4444488889]=66667 and not -66667 because of principle root.

[@Iloveminecraftverymuch]

How's the song called?