MODULUS OF COMPLEX NUMBER

For discussing Olympiad Level Algebra (and Inequality) problems
MATHPRITOM
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MODULUS OF COMPLEX NUMBER

Unread post by MATHPRITOM » Sun Feb 26, 2012 5:53 am

Let z ∈ C∗ such that, $ |z^3 + \frac{1}{z^3}|≤ 2. $ Prove that $ |z + \frac{1}{z}|≤ 2. $

jagdish
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Re: MODULUS OF COMPLEX NUMBER

Unread post by jagdish » Sat Apr 21, 2012 7:10 pm

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Moon
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Re: MODULUS OF COMPLEX NUMBER

Unread post by Moon » Sun Apr 22, 2012 3:31 am

When posting image please upload it to the forum instead of some other server like imageshack. Because after a few months that website will delete your image from their server.
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