The Solution Sets of βxβΒ² β π = 0, βxΒ²β β π = 0 and xβxββ π = 0 where π is a Real Number
Keywords:
ceiling function, solution set, quadratic equationAbstract
The ceiling function of a real number , denoted byΒ
, is the least integer greater than or equal to . In this article, the solution sets ofΒ Β
andΒ
, where
Β is a real number are shown.
Β
References
Graham RL, Knuth DE, & Patashnik O (1994) Concrete Mathematics, Addison- Wesley Publishing Company, Inc. United States of America, 2nd edition
Kitcharoensubdee W, Boonklurb R, & Laoharenoo A (2024) Solution Sets of Some Two-Term Quadratic Equations involving Floor Functions, Proceeding of The 50th International Congress on Science, Technology and Technology-based Innovation (STT50), The Empress Hotel, Chiang Mai, Thailand, 25-27 November, 2024.
Matsko VJ (2020) Quadratics and the Floor Function, Mathematics Magazine Vol.93, No.2, 104-112.
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