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

Home > Just Math
A Perfect Square Problem (Posted on 2006-06-03) Difficulty: 4 of 5
Find all possible pairs of positive integers (x,y) such that both x+5y and y+5x are perfect squares.

See The Solution Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Half an answer | Comment 3 of 10 |
(In reply to Half an answer by e.g.)

"one of this factors is odd, and the other is even, so the product is a multiple of 4, plus 2"

16 is even; 33 is odd; if you multiply them, the product is a multiple of 4, not a multiple of 4 plus 2.


  Posted by Charlie on 2006-06-03 13:09:50
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 (5)
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