Wolfram Alpha can't solve this algebraic equation?

Questions
1

input:

1/(x+13328)^(5/7)+1/x^(5/7)=2/101325^(5/7)
I was surprised that Wolfram alpha doesn’t seem to be able to solve this. Perhaps if it was inputed in some other way?

2

If you type the query like this

1/(x+13328)^(5/7)+1/x^(5/7)-2/101325^(5/7) =0

then WolframAlpha shows you the equation as well as a plot. The plot shoes (by a red dot) where the curve crosses the x-axis. Then putting your mouse over the red dot will show the value (numerically) of the crossing point.

3

or, you could just Paste this request:

NMinimize[{Abs[1/(x + 13328)^(5/7) + 1/x^(5/7) - 2/101325^(5/7)], x > 0}, x]
4

Thanks to both of you.
NMinimize[{Abs[1/(x + 13328)^(5/7) + 1/x^(5/7) - 2/101325^(5/7)], x > 0}, x] gave x=95035.5. Thanks! Now I have a new way of inputing troublesome equations into wolfram alpha! Iteration on a calculator gave 95035.45649. Is it possible, with this sort of equation, and this method of input, to get 10 or more sign. figures from wolfram alpha?

5

More digits and yet another way of finding roots

here

6

Wow! Thanks.