perplexus.info :: Just Math : Rooted to the Floor

Rooted to the Floor (Posted on 2013-09-24)

Find all pairs (x,y) of integers satisfying:

floor(√(2x)) = floor(y*(2 + √2))

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

z is 2+sqr(2) a is an integer greater than 1 x is an even integer in [f(az)^2,(f(az)+1)^2) y is an integer in [f(az)/z,(f(az)+1)/z)
For an explanation, refer to the analytical solution submitted by Daniel in this location.

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

	Subject	Author	Date
	anaylitical solution	Daniel	2013-09-25 11:54:01

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