perplexus.info :: Just Math : Diophantine quickie

Diophantine quickie (Posted on 2011-05-27)

Each of a, b, c, d and e is a positive integer satisfying this system of equations:

a^-2 + b^-2 + c^-2 = d^-2, and:

a+b+c = e²

Determine the smallest value of e. What are the next two smallest values of e?

See The Solution Submitted by K Sengupta

Rating: 5.0000 (2 votes)

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

Subject	Author	Date
re: The value of e	JayDeeKay	2011-05-31 18:11:21
The value of e	Math Man	2011-05-27 18:46:47
Possible solution	broll	2011-05-27 12:46:03

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 (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info