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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(2): many more for part B | Comment 8 of 9 |
(In reply to re: many more for part B by Larry)

Possibly you have rounding error.

https://www.mathsisfun.com/calculator-precision.html

sqrt(1 + (999800-1)*999800*(999800+1))

999700014.9999999879963990997839486157822881638810422643983748541912663133650039298041542500280513064794236123697430328242180051900953151500633750058473189092684922239689342248803632617186657467563162


Edited on June 4, 2022, 11:09 pm
  Posted by Jer on 2022-06-04 22:58:40

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