Determine all possible real values of n that satisfy this equation:
n-nn = 2√2
Note: n
-nn=n
-(nn)
Graphing the function y=x^(-(x^x)) shows a monotonically decreasing functon in three main segments, starting out resembling a hyperbola, curving sharply to a nearly linear segment, then curving sharply to its almost linear horizontal asymptote.
Zooming in, it shows it reaches 2^sqrt(2) near x=1/4 and calculation verifies this is the solution.
n = 1/4
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Posted by Charlie
on 2023-10-17 13:58:13 |
solution
