Let $z$ be a complex number such that
\[z^2 + |z|^2 = 3 - 5i.\]Find $|z|^2.$
Question:
Let $z$ be a complex number such that
\[z^2 + |z|^2 = 3 - 5i.\]Find $|z|^2.$
Answer:
Let's think step by step.

user
\frac{17}{3}
Let $z$ be a complex number such that
\[z^2 + |z|^2 = 3 - 5i.\]Find $|z|^2.$
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