MathDB
greatest integer function

Source: INMO 2009 Problem 3

January 18, 2009
functionfloor functionspecial factorizationsalgebra unsolvedalgebra

Problem Statement

Find all real numbers x x such that: [x^2\plus{}2x]\equal{}{[x]}^2\plus{}2[x] (Here [x] [x] denotes the largest integer not exceeding x x.)