Round 2 U.K. Maths Olympiad 2006 | Learn Two Methods | Math Olympiad Training
This problem comes from the 2006 British Maths Olympiad Round 2.
Find the minimum possible value of x^2 + y^2 given that x and y are real numbers satisfying
xy(x^2 − y^2) = x^2 + y^2 and x =/= 0.
This is a 3½-hour paper with 4 problems, taken by students in their own schools. Based on performances in BMO 1, up to 100 students (who are eligible to represent the UK at the IMO) are invited to sit BMO 2. Marking is carried out by around ten people, under the direction of the current IMO Team Leader. Especially elegant solutions may be awarded the Christopher Bradley elegance prize.
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
Watch video Round 2 U.K. Maths Olympiad 2006 | Learn Two Methods | Math Olympiad Training online without registration, duration hours minute second in high quality. This video was added by user GG Maths 19 January 2021, don't forget to share it with your friends and acquaintances, it has been viewed on our site 4,193 once and liked it 159 people.