Number Theory Problem from Poland | Find Integer Solutions | Math Olympiad Training скачать в хорошем качестве

Number Theory Problem from Poland | Find Integer Solutions | Math Olympiad Training

This diophantine problem comes from the Polish Math Olympiad. Can you find integer solutions to the equation x^2(y-1) + y^2(x-1) = 1? Mathematical competitions in Poland have been held since 1949. The main competition is the national olympiad, held in three rounds. The first round is a take-home set of problems and consists of three parts, four problems for one month each. The more successful contestants (half of the problems are usually enough) are invited to the second round, held in an IMO format in March. Those who do the second round well participate at the third (final) round in April, which is also held in an IMO format. Past problems can be found here: https://www.imomath.com/index.php?opt... Did you solve it? Let me know in the comments how you solved this problem. I’d love to hear about it! Follow me on Facebook at   / ggmaths   Follow me on Instagram at   / gg_maths   Test your friends and family to see if they're as quick as you. Challenge yourself to fun and interesting maths problems and start your journey as an olympiad. Maths videos by Giuliano Grasso - mathematics graduate from the University of East Anglia. I post weekly maths olympiad videos for you to try and solve. If you want to see more problems or send me your own, then subscribe here:    / @ggmaths