You have new items in your feed. Click to view.
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.
26,186,030 questions answered
Weegy Stuff
S
L
P
P
P
P
P
Points 893 [Total 4965] Ratings 2 Comments 873 Invitations 0 Offline
S
P
1
L
Points 663 [Total 1543] Ratings 5 Comments 613 Invitations 0 Offline
S
Points 205 [Total 499] Ratings 0 Comments 205 Invitations 0 Offline
S
Points 100 [Total 100] Ratings 0 Comments 100 Invitations 0 Offline
S
L
P
Points 79 [Total 1191] Ratings 0 Comments 79 Invitations 0 Offline
S
Points 72 [Total 72] Ratings 0 Comments 72 Invitations 0 Offline
S
Points 30 [Total 30] Ratings 3 Comments 0 Invitations 0 Offline
S
L
Points 25 [Total 4250] Ratings 1 Comments 15 Invitations 0 Offline
S
L
P
P
P
Points 13 [Total 3875] Ratings 0 Comments 13 Invitations 0 Offline
S
Points 10 [Total 10] Ratings 1 Comments 0 Invitations 0 Offline
* Excludes moderators and previous
winners (Include)
Home | Contact | Blog | About | Terms | Privacy | © Purple Inc.