\(25-y^2=8\left(x-2009\right)^2\)
\(\left\{{}\begin{matrix}8\left(x-2009\right)^2⋮8\\8\left(x-2009\right)^2\ge0\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}25-y^2⋮8\\25-y^2\ge0\end{matrix}\right.\)
\(\Rightarrow25-y^2\in\left\{0;8;16;24\right\}\)
\(\Rightarrow y^2\in\left\{25;17;9;1\right\}\)
\(\Rightarrow y\in\left\{5;3;1\right\}\)
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