This is a question that I came across today:
If $|z-(2/z)|=1$...(1) find the maximum and minimum value of |z|, where z represents a complex number.
This is my attempt at a solution:
Using the triangle inequality, we can write:
Let $|z|=r$ which implies that $|r-2/r|≤1≤r+2/r$ (From (1))
How must I proceed to find the value of |z|? Please help! Much thanks in advance :)