perplexus.info :: Just Math : Flooring a Floor-Ceiling Function

Flooring a Floor-Ceiling Function (Posted on 2023-04-17)

At the outset, it is known that x is a positive real number.

Determine the minimum value of:

x*floor(x) + floor(1/x) + x + 1/x + x*ceiling(x) + ceiling(1/x)

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required minimum value is 2V2+3
For an explanation, refer to the solution submitted by Kenny M in this location.

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

Subject	Author	Date
No Subject	K Sengupta	2024-01-14 21:01:04
commercial concrete	Hayden Franki	2024-01-14 13:10:42
solution	Larry	2023-04-17 10:12:31
Solution	Kenny M	2023-04-17 10:09:40
solution	Charlie	2023-04-17 10:02:32

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