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)

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Puzzle Thoughts

Comment 6 of 6 |

The required smallest possible value of f is equal to 2sqrt(2k^2 - k)

Posted by K Sengupta on 2023-03-31 00:50:55

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