A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
What is the partial fraction decomposition?
Please help me. These are impossible. :(
5x15/(x+5)^2
anonymous
 5 years ago
What is the partial fraction decomposition? Please help me. These are impossible. :( 5x15/(x+5)^2

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You have a repeated linear factor in the denominator, so you decompose the fraction as such:\[\frac{5x15}{(x+5)^2}=\frac{A}{x+5}+\frac{B}{(x+5)^2}\]You then multiply both sides by (x+5)^2 to obtain\[5x15=A(x+5)+B\]Expand and collect like terms:\[5x15=Ax+(5A+B)\]In order for this to be true, we must have\[A=5\](identifying it with the coefficient of x on the left) and \[5A+B=15\]Since A has to be 5, we may solve for B:\[15=5A+B=5(5)+B=25+B \rightarrow B=15+25=10\]So A = 5 and B = 10, and your decomposition is\[\frac{5x15}{(x+5)^2}=\frac{5}{x+5}+\frac{10}{(x+5)^2}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You can always check by crossmultiplying the righthand side to see if it gets you back to what you had originally.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it's saying that's incorrect. :(

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sorry, Katie, but the answer is correct. I've doublechecked. Maybe you've entered something wrong?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, you're a genius. I forgot the negative. Please help me with 2 more problems?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0partial decomposition of... x^3+x^25/(x^2+7)^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What is the partial fraction decomposition? 8x^2+20x+77/x(x9)(x8)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Last one please and thank you so much, but it's due in 8 minutes.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I can give you what I got, but I've rushed and can't guarantee. \[\frac{77/72}{x}+\frac{60535/616}{x9}\frac{63299/693}{x8}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0749/8 for the x8 one 905/9 for x9 one 77/72 for x one

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you so much for trying! you're awesome!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh well...next time, don't leave it to the last minute! :p

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Go to khanacademy.org or YouTube if you need to see how partial fraction decomposition is done :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.