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Algebra Difficulty 2.0 Junior Prove it Canada

If $f(x)=x^2-3x-5$ , what are the values of $k$ such that $f(k)=k$ ?

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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.