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Another 2007 Problem (Posted on 20070219) 

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.
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