Question 157514
find the value of x and y if 

{{{x^y+y^x=1061}}}
<pre><font size = 4 color = "indigo"><b>
There are infinitely many solutions, at least
one of which is irrational:

One solution is x=4.579042561, y = 4.579042561.

Another is x = 3, y = 6.120048359

Another is x = 3.688301905, y = 5

Edwin</pre>