Maths Olympiad Prep

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, 2025

Algebra Difficulty 1.2 Junior Find the answer Canada

If 502x=1850 - 2\sqrt{x} = 18, the
value of xx is

Pick one

Solution

Solving 502x=1850-2\sqrt{x}=18, we
get 2x=1850-2\sqrt{x}=18-50 or 2x=32-2\sqrt{x}=-32 or x=16\sqrt{x}=16, and so x=162=256x=16^2=256.

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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.