Maths Olympiad Prep

Library / /12 of 21

, 2021

Algebra Difficulty 3.0 AMC 10/12 Prove it United Kingdom

Find all real numbers x,y,zx, y, z such that x2+y2+z2=x−z=2x^2 + y^2 + z^2 = x - z = 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: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.