The last three digits of $ N$ are $ x25$. For how many values of $ x$ can $ N$ be the square of an integer?
Problem
Source: 2009 Puerto Rico Team Selection Test p2
Tags: number theory, Digits, Perfect Square, last digits
Source: 2009 Puerto Rico Team Selection Test p2
Tags: number theory, Digits, Perfect Square, last digits
The last three digits of $ N$ are $ x25$. For how many values of $ x$ can $ N$ be the square of an integer?