Question and answer
Do all rational equations have a single solution? Why is that so?
Whenever you solve a rational equation you must make sure the result obtained for an answer does not allow the denominator of one of the rational expressions to assume a value of ZERO, [ as division by zero is undefined and therefore prohibited. For example if we have 2x/(x-3) =(x2 -9x)/ x when we multiply out by x(x-3) we get 2x(x) = (x2 -9x)(x-3) so 2x2 = x(x-9)(x-3) 2x2 = x(x2 - 12x + 27) 2x2
= x3 - 12x2 + 27x so 0 = x3 - 14x2 + 27x 0 = x(x2 - 14x + 27) so solutions are 0 and 7 + v22 and 7 -v22 but 0 makes right hand side expression have zero in denominator so it is not a solution. We actually have to look at all obtained solutions to be sure they ae not extraneous. Suppose we had obtained a 3 for a solution. That would make the left side denominator equal zero and we would have to dismiss that, if 3 was obtained. The two irrational solutions we have obtained are genuine solutions as neither introduces a zero to a denominator Read more: ]
Expert answered|sipichapie|Points 4512|
Question
Asked 7/10/2012 2:31:47 PM
0 Answers/Comments
Get an answer
New answers
Rating

There are no new answers.

Comments

There are no comments.

Add an answer or comment
Log in or sign up first.
21,526,001 questions answered
Popular Conversations
NAACP
Weegy: The NAACP seems to find racism all around them, but they can't recognize their own! the entire organization is a ...
6/30/2015 9:02:47 AM| 3 Answers
(3k + 4)(3k2 – 5k – 3)
6/30/2015 7:27:10 AM| 2 Answers
a2 + ab – 56b2
6/30/2015 7:29:55 AM| 2 Answers
Which of the following would use a convex lens? magnifying ...
Weegy: A magnifying glass (called a hand lens in laboratory contexts) is a convex lens User: Which of the following ...
6/30/2015 8:50:12 AM| 2 Answers
When sending workplace e-mails, it is important to A. use ...
Weegy: When sending workplace e-mails it is important to: communicate in the right tone. User: Which of the ...
6/30/2015 9:00:36 AM| 2 Answers
Weegy Stuff
S
1
L
P
1
Points 25 [Total 1431]| Ratings 0| Comments 25| Invitations 0|Offline
S
Points 17 [Total 837]| Ratings 0| Comments 17| Invitations 0|Offline
S
Points 7 [Total 518]| Ratings 0| Comments 7| Invitations 0|Offline
S
L
P
Points 4 [Total 3563]| Ratings 0| Comments 4| Invitations 0|Offline
S
P
C
L
P
L
1
P
P
1
P
1
Points 2 [Total 9531]| Ratings 0| Comments 2| Invitations 0|Offline
S
1
L
L
Points 2 [Total 8382]| Ratings 0| Comments 2| Invitations 0|Offline
S
Points 1 [Total 44]| Ratings 0| Comments 1| Invitations 0|Offline
Points 0 [Total 0]| Ratings 0| Comments 0| Invitations 0|Offline
Points 0 [Total 0]| Ratings 0| Comments 0| Invitations 0|Offline
S
Points 0 [Total 0]| Ratings 0| Comments 0| Invitations 0|Offline
Home | Contact | Blog | About | Terms | Privacy | Social | ©2015 Purple Inc.