Let $z$ be a complex number such that
\[|z^2 + 4| = |z(z + 2i)|.\]Find the smallest possible value of $|z + i|.$
Question:
Let $z$ be a complex number such that
\[|z^2 + 4| = |z(z + 2i)|.\]Find the smallest possible value of $|z + i|.$
Answer:
Let's think step by step.

user
1
Let $z$ be a complex number such that
\[|z^2 + 4| = |z(z + 2i)|.\]Find the smallest possible value of $|z + i|.$
train