All about
flooble

fun stuff

Get a free chatterbox

Free JavaScript

Avatars
perplexus
dot
info
Home
>
Just Math
Cubic Equation (
Posted on 20130609
)
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.
)
Another solution (spoiler)
 Comment 2 of 13 
Charlie's done all the hard work.
Clearly, another solution is (a,b,c) = (450,4500,5050)
We might be able to prove that these are unique by letting
a = 450 + X
b = 4500 + y
c = 5050 + z
but the math still looks difficult
Or maybe doing something mod 450 would work ...
Posted by
Steve Herman
on 20130609 19:46:22
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:
blackjack
flooble's webmaster puzzle
Copyright © 2002  2017 by
Animus Pactum Consulting
. All rights reserved.
Privacy Information