Pasteczka, PawełSzáz, Árpád2024-09-042024-09-042018-06-01Teaching Mathematics and Computer Science, Vol. 16 No. 1 (2018) , 43-531589-7389https://hdl.handle.net/2437/379818In this paper, we solve the following two integral part problems: Find all r ϵ R satisfying r^2 = [r]*([r]+1), resp. r^2≤[r]*([r]+1). These problems have been mainly motivated by a solution of an infimum problem of Z. Boros and Á. Száz.application/pdfreal and integral numbersintegral part equations and inequalitiesfolyóiratcikkOpen AccessPaweł Pasteczka and Árpád Százhttps://doi.org/10.5485/TMCS.2018.0442Teaching Mathematics and Computer Science116Teach. Math. Comp. Sci.2676-8364