Question 576300
<font face="Times New Roman" size="+2">

*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sqrt{x\ +\ 4}\ +\ 2\ =\ x]

Add *[tex \LARGE -2] to both sides

*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \sqrt{x\ +\ 4}\ =\ x\ -\ 2]

Square both sides:

*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ 4\ =\ x^2\ -\ 4x\ +\ 4]

Collect like terms and put the quadratic into standard form:

*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ -\ 5x\ =\ 0]

Solve the quadratic.  Check both roots.  Discard the extraneous and invalid root.

John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
<div style="text-align:center"><a href="http://outcampaign.org/" target="_blank"><img src="http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png" border="0" alt="The Out Campaign: Scarlet Letter of Atheism" width="143" height="122" /></a></div>
</font>