An equation with multiple radical radicals.

[Quark Itself]

Here's a slight brainteaser for you all ! Seems simple at sight but can be harder than you think :D P.S I'm working on it as of now, it's an interesting question.
Solve :
1/(√x+√(x+2))+1/(√x+√(x-2))=1/4

 

[coolul007]

x = 257/16 and i did the old fashioned way, by hand

 

[Quark Itself]

Well, good job to you, sir.