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September 4th, 2010, 11:08 AM   #1
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Check answers for a Rational Expression problem.

Hi,

I am in an Algebra II class. I already took it years ago, but I am taking it again as a refresher. I have done two problems that I uploaded for this community to check to see if I have the right answer. I wrote out the whole equation. This will probably be very easy for the members here.

1.) This is a subtraction and simplifying of a rational expression.
http://i53.tinypic.com/24nh2zn.jpg

2.) This is a find the domain problem...
http://i51.tinypic.com/5p0eog.jpg
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September 4th, 2010, 11:59 AM   #2
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Re: Check answers for a Rational Expression problem.

1) You made a mistake in the third row, because is not equal to

Hence is not equal to


This is the right:


Now I solve the original exercise fully:


2) The exerxise: Find domain of rational expression


This expression is meaningless if the value of denominator is equal to 0.
x(7-x)=0
A product is equal to 0 if and only if at least a factor is equal to 0.
Therefore x1=0 and x2=7
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September 4th, 2010, 12:16 PM   #3
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Re: Check answers for a Rational Expression problem.

How about this? I did the question for these two and posted what I thought the answer is.

http://i54.tinypic.com/23ixu04.jpg

Thanks in advance.
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September 4th, 2010, 01:04 PM   #4
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Re: Check answers for a Rational Expression problem.

is equal to if and only if (Of course x,y and 3y-2x is not equal to 0, because the fractions will be meaningless in this case.)

2) if and only if and/or
(Of course x,y is not equal to 0 and x is not equal to 1 because of domain.)
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September 4th, 2010, 01:15 PM   #5
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Re: Check answers for a Rational Expression problem.

Thanks, I am not one to come on forums and ask questions to problems I never tried.
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September 4th, 2010, 04:51 PM   #6
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For the second question, the second equation should be xy - x - y = 0, not xy + x + y = 0.
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September 5th, 2010, 12:17 AM   #7
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Re: Check answers for a Rational Expression problem.

Thanks the reparation. When I wrote that message last night, I was very exhausted.
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September 5th, 2010, 04:41 AM   #8
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Re: Check answers for a Rational Expression problem.

How about this one?

http://i54.tinypic.com/cswp2.jpg
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September 5th, 2010, 05:13 AM   #9
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Re: Check answers for a Rational Expression problem.

Well, the first simplification of rational expression is right, and the second rational expression is equal to (Of course if the fractions are meaningful.)
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September 5th, 2010, 06:58 AM   #10
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The second one is
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