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Suppose \(\sqrt[2016]{\sqrt[2015]{\sqrt[...]{\sqrt[3]{\sqrt{x}}}}}=x^2-y\),

for \(x,y\in \mathbb{Z},\)

for \(x \ge 0\)

Find the number of possible values for x+y.

 

Edit: accidently created duplicate.

 Dec 16, 2015
edited by Sonicmouse37  Dec 16, 2015
edited by Sonicmouse37  Dec 16, 2015
 #1
avatar+2592 
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Already answered, since X and Y are undefined, Infinite amount of positive answers such that a negative cannot be under a square root.

 Dec 16, 2015
 #2
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Umm SpawnOfAngle X and Y need to be integer values

 Dec 16, 2015

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