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

Home > Just Math
4xy - x y ≠ Perfect Square (Posted on 2009-11-01) Difficulty: 3 of 5
Prove that there does not exist any pair (x, y) of positive integers such that: 4xy - x y is a perfect square.

No Solution Yet Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution No Subject | Comment 1 of 3

the given expression=4xy-x-y



now,the first part cant be a perfect,

to make expression a perfect square,(x+y)(x+y-1)=0



so,it is clear,that,both x & y cannot be positive integers

  Posted by subhobrata on 2009-11-02 02:08:26
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information