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Algebra Difficulty 2.0 Junior Prove it Canada

If $x-y=4\sqrt{2}$ and $xy=56$ , determine the two possible values of $x+y$ .

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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.