Find the solution set of

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Find the solution set of ⌈x⌉2+⌈x+1⌉2=25\lceil x\rceil^2+\lceil x+1\rceil^2=25, where ⌈x⌉\lceil x\rceil is the least integer greater than or equal to xx.

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