perplexus.info :: Just Math : Simultaneous Settlement IV

Simultaneous Settlement IV (Posted on 2014-03-22)

Determine all possible ordered triplets (A,B,C) of integers satisfying this simultaneous equation:

A³ + B³ + C³ = 3 and:
A + B + C = 3

Prove that there are no others.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required ordered triplets are:
(A, B, C)= (1,1,1), (4,4,-5),(4,-5,4), and (-5, 4, 4)
For an explanation, refer to:
The solution submitted by Jer in this location.
The computer program assisted solution submitted by Charlie in this location.

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

Subject	Author	Date
Solution.	Jer	2014-03-22 23:48:51
computer exploration	Charlie	2014-03-22 13:17:21

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
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:


perplexus dot info