perplexus.info :: Just Math : Smallest Value

Smallest Value (Posted on 2007-03-27)

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: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Thoughts	K Sengupta	2023-03-31 00:50:55
Applause	Steve Herman	2007-03-29 23:30:44
re: Correct solution (with hand-waving)	Joel	2007-03-29 19:55:41
Correct solution (with hand-waving)	Steve Herman	2007-03-28 22:14:43
Huh? Not so fast.	Steve Herman	2007-03-27 13:56:02
Simple solution	Old Original Oskar!	2007-03-27 12:48:59

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