Question 1120063
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You really haven't asked a mathematics question here because I have no idea what it is you want to do with this rational expression.  But let me answer the questions you asked or implied:


No, Complex Numbers is not the appropriate section for this problem.  Complex numbers are of the form *[tex \Large\ a\ +\ bi\ \ ] where *[tex \Large\ i\ \ ] is defined as *[tex \Large\ i^2\ =\ -1].


You have presented a Rational expression.  Whether it is supposed to be a rational function or just an expression is a mystery because you didn't explain what is expected by the assignment that contains this expression.


Despite your lengthy explanation of your post, what you presented is still ambiguous because of your failure to use sufficient parentheses to indicate what parts of the expression belong in which numerator or denominator.


What I believe you meant is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{\frac{x\,-\,5}{2x\,-\,5}}{\frac{x\,-\,5}{2x\,-\,5}\ -\ \frac{x\,+\,2}{x\,-\,5}]


To the extent that my supposition is correct, you would have been more clear had you written:


[(x - 5)/(2x - 5)] / [((x - 5)/(2x - 5)) - ((x + 2) / (x - 5))]


You can also use curly braces to differentiate levels of grouping if it is clearer.  Doesn't matter so long as the grouping symbols are properly paired.


<a href="http://www.purplemath.com/modules/mathtext.htm">Look here for more on plain text rendering of mathematical expressions (4 pages)</a>


If you still want help with your original problem, whatever that was, repost. But this time explain what you are required to do, tell us what it is about the problem that is giving you difficulty, and show what you have tried so far.
								
								
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
{{n}\choose{r}}

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