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Nested radical redux (Posted on 2022-06-04) Difficulty: 3 of 5
Find all positive integers (x,y) that satisfy y=√(x+x√x)

Find all positive integers (x,y) that satisfy y=√(x+x√(x+x√x))

No Solution Yet Submitted by Jer    
Rating: 5.0000 (2 votes)

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re(3): many more for part B Comment 9 of 9 |
(In reply to re(2): many more for part B by Jer)

Well, who ever said rounding error was not impressive?  Impressively wrong.   

You're absolutely right, Jer.
So it looks like that sequence DOES just have 4 members, stopping at 56.

  Posted by Larry on 2022-06-05 06:11:39
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