Try proving

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- Jul 5th 2006, 05:20 AM #1

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## Problem

Let a and b be positive real numbers such that

a^2 + b^2 = 1

Prove that

a^4 + b^4 is greater than or equal to 0.5

Would someone be so kind as to point me in the right direction?

P.S. Don't give me the answer just yet. I want to see if I can do it alone. Just give me an idea of how I should go about doing this.

- Jul 5th 2006, 05:55 AM #2

- Jul 5th 2006, 06:05 AM #3

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- Jul 5th 2006, 06:14 AM #4

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- Jul 10th 2006, 01:25 PM #5

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