The greatest integer ≤ Y is denoted by [Y] , and {Y} = Y - [Y].

How many distinct real Y satisfy this equation, whenever 1 ≤ Y ≤ 28 ?

                                         {Y²} = {Y}²

Note: While a solution may be trivial with the aid of a computer program, show how to derive it without one.

(In reply to Similar but not identical solution by Paul)

Ty, Paul.

I confirm having hyperlinked your methodology in my solution.

 

Posted by K Sengupta on 2008-09-17 12:57:33