CEMC Euclid, 2000

Algebra Difficulty 1.0 Junior Prove it Canada

If $x + \frac{1}{x} = \frac{13}{6}$ , determine all values of $x^2 + \frac{1}{x^2}$ .

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.