MathDB

3

Part of 2009 India National Olympiad

Problems(1)

greatest integer function

Source: INMO 2009 Problem 3

1/18/2009
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.)
functionfloor functionspecial factorizationsalgebra unsolvedalgebra