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# complex numbers

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Let $$z$$ be a complex number with $$|z| = \sqrt{2}.$$ Find the maximum value of $$|(z - 1)^2 (z + 1)|.$$

Sep 6, 2022

#1
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The maximum value is 3/4.

Sep 6, 2022
#2
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Hey guest, that's completely wrong. The answer is $$4\sqrt2$$.

Sep 8, 2022