x^2(x^2+2y^2-3)+(y^2-2)^2=1
\\\Rightarrow x^4+2x^2y^2-3x^2+y^4-4y^2+3=0
\\\Rightarrow (x^2+y^2)^2-4(x^2+y^2)+4-1=-x^2
\\\Rightarrow (x^2+y^2-2)^2-1=-x^2
\\\Rightarrow (x^2+y^2-3)(x^2+y^2-1)=-x^2 \leq 0
\\(x^2+y^2) \rightarrow X
\\\Rightarrow (X-3)(X-1) \leq 0
\\\Rightarrow 1 \leq X \leq 3
\\\Rightarrow 1\leq x^2+y^2 \leq 3