Sum,Difference,Squares

For discussing Olympiad Level Algebra (and Inequality) problems
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Sum,Difference,Squares

Unread post by nafistiham » Fri Jan 27, 2012 12:57 am

how many natural number sets ${a,b,c,d}$ are there such that,
\[a^2+b^2=c^2\]
\[a^2-b^2=d^2\]
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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