Hello, i'm trying to do exercise number 20 from chapter 6 of this http://www.people.vcu.edu/~rhammack/BookOfProof/index.html, it asks to show that the curve x(adsbygoogle = window.adsbygoogle || []).push({}); ^{2}+ y^{2}- 3 = 0 has no rational points. In the answer it has this tip: first show that a^{2}+ b^{2}= 3c has no solutions, other than the trivial. To do this, investigate the remainders of a sum of squares (mod 4). After youâ€™ve done this, prove that the only solution is indeed the trivial solution...

I'm in trouble with this part, how can I use the information from the tip?

Thanks.

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# How to proof that a curve has no rational points

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