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Another 2007 Problem (Posted on 2007-02-19) Difficulty: 3 of 5
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: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Obvious ones | Comment 1 of 7
An obvious solution for both equations is x=0, y=0.
  Posted by Federico Kereki on 2007-02-19 16:22:58
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