MathDB

3

Part of 2003 Indonesia MO

Problems(1)

floor(x^2) + ceil(x^2) = 2003

Source: INAMO 2003 - Problem 3

8/5/2011
Find all real numbers xx such that ⌊x2⌋+⌈x2⌉=2003\left\lfloor x^2 \right\rfloor + \left\lceil x^2 \right\rceil = 2003.
floor functionceiling functionalgebra unsolvedalgebra