perplexus.info :: Just Math : Unequally Yoked II

Unequally Yoked II (Posted on 2008-07-19)

Determine all possible nonzero integers A and B, with A ≠ B, that satisfy this equation.

A^B = B^A-B

Submitted by K Sengupta

Rating: 4.0000 (1 votes)

Solution: (Hide)

The only solutions to the given equation are given by:

(A,B) = (1, -1), (9, 3), (8, 2) and (-8, -2)

For an explanation, refer to the solution submitted by Praneeth in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution	K Sengupta	2008-08-01 13:51:30
Solution	Praneeth	2008-07-21 04:59:01
re: Set of integers that satisfy the equation	K Sengupta	2008-07-20 07:07:34
Set of integers that satisfy the equation (partial spoiler)	Dej Mar	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 (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info