MathDB

4

Part of 1998 Argentina National Olympiad

Problems(1)

x -[x/2] -[x/3] -[x/6]

Source: Argentina 1998 OMA L3 p4

5/13/2024
Determine all possible values of the expressionx−[x2]−[x3]−[x6]x-\left [\frac{x}{2}\right ]-\left [\frac{x}{3}\right ]-\left [\frac{x} {6}\right ]by varying xx in the real numbers.
Clarification: The brackets indicate the integer part of the number they enclose.
floor functionalgebranumber theory