Question 1209508
<pre>

{{{matrix(2,3, "","","",

sqrt(x)^sqrt(y)+sqrt(y)^sqrt(x),""="",145)}}}


That's got variables both inside and not inside exponents in more
than 1 term, So very likely, algebra is useless.  Besides that, there 
are two variables, but only one equation.  So there are no doubt 
infinitely many solutions.

Using a TI-84 graphing calculator,
one approximate solution is 

x = y = 11.93702491

You can find plenty of other approximate solutions, by making up 
values for y and solving for x with your TI-84.

Edwin</pre>