Question 617799
<font face="Times New Roman" size="+2">


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{1}{x\ +\ 2}\ -\ \frac{1}{x\ +\ 3}\ =\ \frac{1}{2}]


The LCD is *[tex \LARGE 2(x\ +\ 2)(x\ +\ 3)]


So


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{2(x\ +\ 3)\ -\ 2(x\ +\ 2)}{2(x\ +\ 2)(x\ +\ 3)}\ =\ \frac{(x\ +\ 2)(x\ +\ 3)}{2(x\ +\ 2)(x\ +\ 3)}]


Multiply by *[tex \LARGE 2(x\ +\ 2)(x\ +\ 3)]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2(x\ +\ 3)\ -\ 2(x\ +\ 2)\ =\ (x\ +\ 2)(x\ +\ 3)]


Expand, simplify, and solve the resulting quadratic.


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>