Maths Olympiad Prep

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, 2007

Algebra Difficulty 3.0 AMC 10/12 Prove it Canada

Determine all values of xx for which 2+x2=x22+\sqrt{x-2}=x-2.

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.