Maths Olympiad Prep

Library / /330 of 475

, 2002

Number theory Difficulty 2.0 Junior Find the answer Canada

For how many integer values of xx is 25x2\sqrt{25-x^2} equal to an integer?

(A) 77 (B) 66 (C) 55 (D) 33 (E) 22

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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.