Let $x$ and $y$ be nonzero real numbers such that
\[xy(x^2 - y^2) = x^2 + y^2.\]Find the minimum value of $x^2 + y^2.$
Question:
Let $x$ and $y$ be nonzero real numbers such that
\[xy(x^2 - y^2) = x^2 + y^2.\]Find the minimum value of $x^2 + y^2.$
Answer:
Let's think step by step.

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4
Let $x$ and $y$ be nonzero real numbers such that
\[xy(x^2 - y^2) = x^2 + y^2.\]Find the minimum value of $x^2 + y^2.$
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