Difference between revisions of "1996 IMO Problems/Problem 4"

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==Solution==
 
==Solution==
 
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==Video Solution==
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https://www.youtube.com/watch?v=d3Olg8LekzA&t=5s
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==See Also==
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{{IMO box|year=1996|num-b=3|num-a=5}}

Latest revision as of 15:45, 20 November 2023

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

This problem needs a solution. If you have a solution for it, please help us out by adding it.

Video Solution

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

See Also

1996 IMO (Problems) • Resources
Preceded by
Problem 3
1 2 3 4 5 6 Followed by
Problem 5
All IMO Problems and Solutions