MathDB
integer part equation

Source: Romanian District Olympiad 2015, Grade IX, Problem 2

September 25, 2018
Diophantine equationInteger Partnumber theory

Problem Statement

Determine the real numbers a,b, a,b, such that [ax+by]+[bx+ay]=(a+b)\cdot [x+y], \forall x,y\in\mathbb{R} , where [t] [t] is the greatest integer smaller than t. t.
Back to ProblemsView on AoPS