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Math Help - relation between x and y

  1. #1
    Junior Member erich22's Avatar
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    relation between x and y

    if x,y, and a are positive integers.
    What can be implied if x^8 + y^8 < a^8?
    Thank u for the replies!
    Last edited by erich22; June 3rd 2010 at 03:19 AM. Reason: forget to say thank u :)
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  2. #2
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    Hello, erich22!

    If x,y,a are positive integers,

    what can be implied if: . x^8 + y^8 \:<\: a^8\;?

    I conclude that: . \begin{array}{c}0 \:<\:x \:<\:a \\ 0 \:<\:y\:<\:a \end{array}
    Code:
            |
          a + . . . . . . . .
            | * * * * * * * .
            | * * * * * * * .
            | * * * * * * * .
            | * * * * * * * .
            | * * * * * * * .
            | * * * * * * * .
            | * * * * * * * .
        - - + - - - - - - - + - - 
            |               a
    Thanks from erich22
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  3. #3
    Junior Member erich22's Avatar
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    Thank u very much for your answer, Sir Soroban.
    But I still don't understand, how u did it, Sir.
    Would u mind explaining it to me in details?

    Thank u sir!
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