Two solutions of
\[x^4 - 3x^3 + 5x^2 - 27x - 36 = 0\]are pure imaginary.  Enter these solutions, separated by commas.
Question:
Two solutions of
\[x^4 - 3x^3 + 5x^2 - 27x - 36 = 0\]are pure imaginary.  Enter these solutions, separated by commas.
Answer:
Let's think step by step.

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3i,-3i
Two solutions of
\[x^4 - 3x^3 + 5x^2 - 27x - 36 = 0\]are pure imaginary.  Enter these solutions, separated by commas.
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