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    I have a question here which seems to be proving more difficult than a lot of other equations.
    The question is essentially, prove that there are no integer solutions to the equation  x^4+y^4=2z^4 other than the trivial (0,0,0).
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    Have a look at: http://math.stackexchange.com/questi...as-no-solution

    It is related to Fermat's Last Theorem. The proof is sort of cumbersome and uses a method known as "infinite descent".

    Theorem 3.1 is also useful:
    http://www.math.uconn.edu/~kconrad/b...hy/descent.pdf
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    (Original post by Ano123)
    I have a question here which seems to be proving more difficult than a lot of other equations.
    The question is essentially, prove that there are no integer solutions to the equation  x^4+y^4=2z^4 other than the trivial (0,0,0).
    (1, 1, 1) is a solution. You'll need to specify your conditions more carefully.
 
 
 
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