IR-MO 2003 Problem 1
suppose this equation: x 2 +y 2 +z 2 =w 2 . show that the solution of this equation ( if w,z have same parity) are in this form: x=2d(XZ-YW), y=2d(XW+YZ),z=d(X 2 +Y 2 -Z 2 -W 2 ),w=d(X 2 +Y 2 +Z 2 +W 2 )
Dataset text AI-MO AoPS. Quoted with source.
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