perplexus.info :: Just Math : Power inequality

Power inequality (Posted on 2005-03-15)

Prove that for all positive x, y, and z,

(x+y)^z+(y+z)^x+(z+x)^y > 2.

See The Solution Submitted by e.g.

Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Can get close to 2

| Comment 8 of 18 |

(In reply to Can get close to 2 by Richard)

Richard,

I agree with your solution. Perhaps you can help me in paying the million dollars I'd bet.

Posted by pcbouhid on 2005-03-16 21:03:09

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