Show how to determine that there are infinite solutions to x^2 + y^2 =z^4 where x, y, and z > 0 and (x,y,z)=1
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Originally Posted by diddledabble Show how to determine that there are infinite solutions to x^2 + y^2 =z^4 where x, y, and z > 0 and (x,y,z)=1 you don't need to worry about positivity of because if is a solution, then will be a solution too. in order to make sure that you should choose so that and not both are odd.
Last edited by NonCommAlg; Jul 11th 2009 at 05:42 PM.
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