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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 \(\sqrt{3} + 1\)

Note by Akhilesh Prasad
3 years, 3 months ago

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

Chirag Poddar - 3 years, 2 months ago

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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

Krishna Sharma - 3 years, 3 months ago

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