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Number theory Difficulty 1.0 Junior Find the answer Canada

How many ordered pairs $(a, b)$ of positive integers satisfy $a^2 + b^2 = 50$ ?

(A) $0$ (B) $1$ (C) $3$ (D) $5$ (E) $7$

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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.