Maths Olympiad Prep

Library / /44 of 176

, 2001

Algebra Difficulty 2.0 Junior Prove it Canada

Determine all (x,y)(x,y) such that x2+y2=25x^2+y^2=25 and xy=1x-y=1.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.