All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Surprising Sudden Square (Posted on 2007-03-24) Difficulty: 3 of 5
Prove that if a²+b² is a multiple of ab+1, for positive integer a and b, then (a²+b²)/(ab+1) is a perfect square.

No Solution Yet Submitted by Old Original Oskar!    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolution To The Problem: 3rd MethodK Sengupta2007-04-09 12:06:42
SolutionA Simpler MethodologyK Sengupta2007-03-26 04:20:50
Some Thoughtsan observationDej Mar2007-03-25 21:02:08
re: Solution chainsK Sengupta2007-03-25 13:05:43
Solution chainsBrian Smith2007-03-25 12:02:56
SolutionPuzzle SolutionK Sengupta2007-03-25 01:54:59
re(2): A startGamer2007-03-25 01:50:03
re: A startBrian Smith2007-03-25 00:01:34
Some ThoughtsA stop?Federico Kereki2007-03-24 21:59:14
A startGamer2007-03-24 21:03:44
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information