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If $|z - \frac{4}{z}| = 2,$ then the maximum value of $|z|$ is equal to

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Correct option is D

|z|−4|z|≤||z−4|z|≤z−4z=2⇒ |z|2−2|z|−4≤0⇒ (|z|−1)2≤5⇒|z|≤1+5.The maximum value 5+1 is attained when z=5+1.

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If z−4z=2, then the maximum value of zis equal to

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If $|z - \frac{4}{z}| = 2,$ then the maximum value of $|z|$ is equal to