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Complex Number Help (1 Viewer)

cineti970128

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2014
Find the greatest value of |z| if the complex number satisfies |z-4/z| = 8
i did it like

|z²- 4| = 8|z|
Using triangular inequality
8|z| < or = |z|²- 4

Hence when equlity holds maximum value
|z|²- 8|z|-4 = 0
Hence solving the equation which gives maximum |z|?

I am not sure if I am wrong could you tell me your working and your answer ASAP
 

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