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Smallest Value (Posted on 2007-03-27) Difficulty: 3 of 5
Find the smallest possible value of

f =
x4+y4-k

x2-y2

in terms of the constant k, given that xy=k, and x>y>1.

See The Solution Submitted by Dennis    
Rating: 3.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Huh? Not so fast. | Comment 2 of 6 |
Oskar:

I think you are off track.

1) The problem requires x> y > 1

2) I think you have modified the function by adding
 (k-2k^2)/(x^2 - y^2).  But this is not a constant, so I think you are now minimizing the wrong function.

  Posted by Steve Herman on 2007-03-27 13:56:02
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