Question

z is a variablevcomplex number such that |z-1/z|=3.find the greatest and the least value of |z|.

Answer 1

$| z - 1 \div z| = 3 \\ | {z}^{2} \div z - 1 \div z | = 3 \\ |( {z}^{2} - 1) \div z | = 3$

Answer 2

This is your answer

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