If `|z-4/z|=2` , then the maximum value of `|Z|` is equal to (1) `sqrt(3)+""1` (2) `sqrt(5)+""1` (3) 2 (4) `2""+sqrt(2)`

Explanation

To solve the problem \( |z - \frac{4}{z}| = 2 \) and find the maximum value of \( |z| \), we can follow these steps:

### Step 1: Rewrite the equation
We start with the equation:
\[ |z - \frac{4}{z}| = 2 \]
This can be rewritten as:
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