1. ## ordered of pairs

In 1953, L.J.Mordell said that there were only four ordered triples of integers (x, y, z) for which x^3 +y^3 +z^3 = 3 .one of these is (1, 1, 1). What are the other three ordered triples?

(4, 4, -5)
(4, -5, 4)
(-5, 4, 4)

3. ## Re: ordered of pairs

can you give me explanation

4. ## Re: ordered of pairs

I thought that I could answer it.
I assumed, since the claim was that there were exactly three more solutions, and since the equation is symmetric in x/y/z, that the solutions would be symmetric.
I assumed that two of the variables were equal.
I tried a few smaller numbers, and considered powers of small numbers.
I came across the given solution.
I typed in into the box, and hit "Post quick reply".

5. ## Re: ordered of pairs

Good Explanation!

6. ## Re: ordered of pairs

Originally Posted by HallsofIvy
Good Explanation!
It probably won't earn me the "Best MHF Helper 2011" award...

If anything, I'd like to see a little more confidence and effort in the world