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Easy Algebra at EMC

Source: EMC 2023 Seniors P1

December 18, 2023
algebraeasyemc2023

Problem Statement

Determine all sets of real numbers SS such that:
[*] 11 is the smallest element of SS, [*] for all x,y∈Sx,y\in S such that x>yx>y, x2−y2∈S\sqrt{x^2-y^2}\in S
Adian Anibal Santos Sepcic
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