MathDB

Solve this equation.

Source:

December 31, 2006

floor functionfunctionalgebra

Problem Statement

Let

a

be a positive integer. How many non-negative integer solutions x does the equation

\lfloor \frac{x}{a}\rfloor = \lfloor \frac{x}{a+1}\rfloor

have?

\lfloor ~ \rfloor

—> [url=http://en.wikipedia.org/wiki/Floor_function]Floor Function.