Finding the minimum value of a complex number – math.stackexchange.com

Finding the minimum value of a complex number – math.stackexchange.com

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If $z$ is a complex number satisfying $|z^2+1| = 4|z|$ . Then prove that the minimum value of $|z|$ is $4$ This is how I attempted the problem , $\frac{|z^2+1|}{|z|} = 4$ Therefore , $|z + ...

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