If \( \left|\mathrm{z}-\frac{4}{\mathrm{z}}\right|=2 \), then the m...

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If \( \left|\mathrm{z}-\frac{4}{\mathrm{z}}\right|=2 \), then the maximum value of \( |\mathrm{z}| \) is equal to :
\( \mathrm{P} \)
(1) \( \sqrt{5}+1 \)
(2) 2
(3) \( 2+\sqrt{2} \)
(4) \( \sqrt{3}+1 \)
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