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

Home > Just Math
Unequally Yoked II (Posted on 2008-07-19) Difficulty: 3 of 5
Determine all possible nonzero integers A and B, with A ≠ B, that satisfy this equation.

                                         AB = BA-B

See The Solution Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Set of integers that satisfy the equation (partial spoiler) | Comment 1 of 4

There are at least six pairs of integers (A,B) that satisfy the equation AB = BA-B:
(-8,-2), (1,-1), (0,0), (1,1), (8,2), and (9,3).

(0,0) and (1,1) satisfy the equation, yet the set (0,0) is not a set of non-zero integers, and both (0,0) and (1,1) are cases where A = B, thus neither are one of set of values that is part of the final solution. 

Edited on July 20, 2008, 7:40 pm
  Posted by Dej Mar on 2008-07-19 22:32:45

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 (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information