Maths Olympiad Prep

Library / CEMC Hypatia /10 of 77

CEMC Hypatia, 2008

Algebra Difficulty 2.0 Junior Prove it Canada

If (w−2)∇w=14(w-2)\nabla w = 14, determine all possible values of ww.

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.
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.