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, 1999

Algebra Difficulty 2.0 Junior Prove it Canada

If $x^2 - x - 2 = 0$ , determine all possible values of $1 - \frac{1}{x} - \frac{6}{x^2}$ .

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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.