All the complex roots of $(z + 1)^5 = 32z^5,$ when plotted in the complex plane, lie on a circle.  Find the radius of this circle.
Question:
All the complex roots of $(z + 1)^5 = 32z^5,$ when plotted in the complex plane, lie on a circle.  Find the radius of this circle.
Answer:
Let's think step by step.

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\frac{2}{3}
All the complex roots of $(z + 1)^5 = 32z^5,$ when plotted in the complex plane, lie on a circle.  Find the radius of this circle.
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