The variety $X=V(x^2+y^2-1) \subseteq k^2$ is isomorphic to k if and only if $k$ has characteristic 2

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Question: The variety $X=V(x^2+y^2-1) \subseteq k^2$ is isomorphic to k if and only if $k$ has characteristic 2.

I don't even know where to start....Can anyone give me a hint?