# This complex number is really complex

Help me out with this one

The maximum value of $$\left| z \right|$$ when $$z$$ satisfies the condition $$\left| z + \frac{2}{z}\right| = 2$$ is

The answer is $$\sqrt{3} + 1$$

3 years, 11 months ago

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Use triangle inequality of complex number. I hope u get it.

- 3 years, 9 months ago

I M weak in formatting so hope u understand Minimum value of |z + 2/z| is ||z|-|2/z|| so equating it with 2 gives us quadratic of |z|--> |z|^2 -2|z| -2 = 0

- 3 years, 11 months ago