perplexus.info :: Just Math : Cubic Equation

Cubic Equation (Posted on 2013-06-09)

Determine all triplets (a,b,c) of nonzero integers satisfying:
987654321*a + 123456789*b + c = (a + b + c)³

Prove that there are no others.

No Solution Yet Submitted by K Sengupta

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

re: A second all-positive solution (spoilers)

| Comment 5 of 13 |

How about trying advancing a,b,c by step=50 and looking for justification later?

BTW , my "pifometer" guess is a+b+c=30000 might be your next solution, just find the a,b,c triplet

Edited on June 10, 2013, 3:15 am

Posted by Ady TZIDON on 2013-06-10 03:06:20

Please log in:

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

Chatterbox:


perplexus dot info