We present a solution to question 4 from the 2006 International Mathematics Olympiad. This problem involves determining when a certain combination of powers of 2 is a perfect square.
Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1
Personal Website: http://www.michael-penn.net
Randolph College Math: http://www.randolphcollege.edu/mathematics/
Randolph College Math and Science on Facebook: https://www.facebook.com/randolph.science/
Research Gate profile: https://www.researchgate.net/profile/Michael_Penn5
Google Scholar profile: https://scholar.google.com/citations?user=W5wkSxcAAAAJ&hl=en
If you are going to use an ad-blocker, considering using brave and tipping me BAT!
https://brave.com/sdp793
Books I like:
Abstract Algebra:
Judson(online): http://abstract.ups.edu/
Judson(print): https://amzn.to/2Xg92wD
Dummit and Foote: https://amzn.to/2zYOrok
Gallian: https://amzn.to/2zg4YEo
Artin: https://amzn.to/2LQ8l7C
Differential Forms:
Bachman: https://amzn.to/2z9wljH
Number Theory:
Crisman(online): http://math.gordon.edu/ntic/
Strayer: https://amzn.to/3bXwLah
Andrews: https://amzn.to/2zWlOZ0
Analysis:
Abbot: https://amzn.to/3cwYtuF
How to think about Analysis: https://amzn.to/2AIhwVm
Calculus:
OpenStax(online): https://openstax.org/subjects/math
OpenStax Vol 1: https://amzn.to/2zlreN8
OpenStax Vol 2: https://amzn.to/2TtwoxH
OpenStax Vol 3: https://amzn.to/3bPJ3Bn