Maths Olympiad Prep

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, 2000

Algebra Difficulty 1.0 Junior Prove it Canada

If x+1x=136x + \frac{1}{x} = \frac{13}{6}, determine all values of x2+1x2x^2 + \frac{1}{x^2}.

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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.