1996 IMO Problems/Problem 4

Revision as of 18:14, 6 October 2023 by Tomasdiaz (talk | contribs) (Solution)

Problem

The positive integers $a$ and $b$ are such that the numbers $15a+16b$ and $16a-15b$ are both squares of positive integers. What is the least possible value that can be taken on by the smaller of these two squares?

Solution

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Video Solution

https://www.youtube.com/watch?v=d3Olg8LekzA&t=5s