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Math Help - ordered of pairs

  1. #1
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    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?
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  2. #2
    Super Member TheChaz's Avatar
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    Re: ordered of pairs

    (4, 4, -5)
    (4, -5, 4)
    (-5, 4, 4)
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  3. #3
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    Re: ordered of pairs

    can you give me explanation
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  4. #4
    Super Member TheChaz's Avatar
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    Re: ordered of pairs

    I saw your question.
    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".
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  5. #5
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    Re: ordered of pairs

    Good Explanation!
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  6. #6
    Super Member TheChaz's Avatar
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    Re: ordered of pairs

    Quote Originally Posted by HallsofIvy View Post
    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
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