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Mathematics 15 Online
OpenStudy (dannyrod2000):

what is equal to the rational expression when

OpenStudy (dannyrod2000):

\[\neq 5\]

OpenStudy (dannyrod2000):

\[x^2-25/x-5\]

OpenStudy (agreene):

sorry was helping with someone in chem

OpenStudy (dannyrod2000):

its ok

OpenStudy (agreene):

im not quite sure what you're asking... is it this \[\frac{x^2-25}{x-5}\space\space \text{while} \space\space x\ne5\]

OpenStudy (dannyrod2000):

yes and just to know, how do you put the fraction bar cause i can't find it.

OpenStudy (agreene):

\ frac { TOP } { BOTTOM }

OpenStudy (agreene):

so, if you plug in for x=5 it will tell you something about this rational fraction. try that

OpenStudy (dannyrod2000):

\[5x^2-25/5-5\]

OpenStudy (agreene):

sort of you got the top wrong but that doesnt matter, lol 5-5 = 0 you cant have 0 in the denominator. So, at x=5 it is undefined so where x dne 5 it is rational

OpenStudy (anonymous):

@dannyrod2000 You're asking for the sign of the expression ?

OpenStudy (dannyrod2000):

rational expression when x

OpenStudy (dannyrod2000):

\[\neq5\]

OpenStudy (agreene):

I made you do that x=5 bit to help you know why it's important at that point, so when x dne 5 you can simplify this, as long as you say its not gonna be 5.

OpenStudy (agreene):

so, if you factor the top you will find \[\frac{(x-5)(x+5)}{x+5}\]

OpenStudy (agreene):

i messed up that sign again on the bottom

OpenStudy (agreene):

lol sometimes I scroll up and mess up the signs when i start typing

OpenStudy (dannyrod2000):

oh lol

OpenStudy (agreene):

\[\frac{(x+5)\cancel{x-5}}{\cancel{x-5}}\]

OpenStudy (agreene):

so x+5 is the answer but only while x dne 5

OpenStudy (dannyrod2000):

what does dne stand for? lol

OpenStudy (agreene):

does not equal (in this case) it can also mean does not exist (in other cases)

OpenStudy (dannyrod2000):

oh does not equal?

OpenStudy (dannyrod2000):

oh ok lol

OpenStudy (agreene):

its internet shorthand from back before all this fancy equation drawing :P

OpenStudy (agreene):

kinda like le for < and equal to ge for > and equal to

OpenStudy (dannyrod2000):

ok i got it right!

OpenStudy (agreene):

:D

OpenStudy (dannyrod2000):

lol thanks

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