perplexus.info :: Numbers : Another 2007 Problem

Another 2007 Problem (Posted on 2007-02-19)

Analytically determine all possible integer solutions (x,y) of each of the following equations:

(A) √(x+ √(x+ √( x +......+ √(x + √x))))) = y

(B) √(x+ √(x+ √(x + √(x ......+ √(x + √(2x))))) = y, with x < 180,000

The square root symbol in the each of the above relationships is repeated 2007 times.

See The Solution Submitted by K Sengupta

Rating: 3.0000 (1 votes)

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

Subject	Author	Date
Solution for B (using same method)	Gamer	2007-02-20 22:58:02
re(2): a partial solution to B	Daniel	2007-02-20 03:33:11
Solution	Art M	2007-02-20 02:59:48
re: a partial solution to B	Joel	2007-02-20 02:38:05
a partial solution to B	Daniel	2007-02-20 01:00:08
Solution to A	Gamer	2007-02-19 19:41:33
Obvious ones	Federico Kereki	2007-02-19 16:22:58

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