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))
(In reply to
Puzzle Solution: Part B by K Sengupta)
Not so fast, KS!
I'm not sure my second version is correct, either! It works for 03, but x=4 gives a noninteger solution.
I was copying from rough notes, so it is possible there's a slip in the formula.
Note: It seems there was:
y=√((2x1)^21)^2+(2x1)^21)^2√((2x1)^21)^2+(2x1)^21)^2√(2x1)^21)^2)) works fine.
Edited on June 4, 2022, 9:04 am

Posted by broll
on 20220604 09:01:25 