Question
Show that the curve $x^2+y^2=3$ (a conic) has no rational points, even when we extend the search to $\mathbb{P}^2(\mathbb{Q})$.
Step 1
The given equation is \( x^2 + y^2 = 3 \). This represents a circle centered at the origin with a radius of \(\sqrt{3}\). Show more…
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