Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

RolyPoly Group Title

Is that correct? Resolve into partial fraction\[\frac{x^2}{x^4-1}\]\[\frac{x^2}{x^4-1}=\frac{x^2}{(x^2+1)(x-1)(x+1)}\] \[A(x-1)(x+1) + B(x^2+1)(x-1) + C(x^2+1)(x+1) = x^2\]\[(B+C) x^3+(A-B+C)x^2 +(B+C)x -A-B+C =x^2\]So, B+C = 0, A-B+C=1, A+B-C = 0 And I got A = 1/2, B=-1/4, C=1/4 So, \[\frac{x^2}{x^4-1} = \frac{1}{2(x^2+1)} - \frac{1}{4(x+1)} +\frac{1}{4(x-1)}\]

  • one year ago
  • one year ago

  • This Question is Closed
  1. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1350710674124:dw|

    • one year ago
  2. .Sam. Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @RolyPoly good to go.

    • one year ago
  3. RolyPoly Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @zepdrix Yes! That should be the case, but I can't get the answer by solving that equation :(

    • one year ago
  4. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Hmmm :c

    • one year ago
  5. RolyPoly Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Continue from that step; (A+C+D)x^3 + (B+C-D)x^2 + (-A+C+D) + (-B+C-D) = x^2 So, A+C+D = 0 --- (1) (B+C-D) = 1 --- (2) -A+C+D =0 --- (3) -B+C-D = 0 --- (4) (1)-(3): A=0 (3)-(4): -A+B = 0 => B = 0 Here comes the problem!

    • one year ago
  6. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1350711031547:dw| Hmmmm we have 4 equations and 4 unknowns. This should be solvable. It might be a bit of work though :o

    • one year ago
  7. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh hmm

    • one year ago
  8. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1350711417164:dw| Hmm maybe just try combining them a different way? <:O I came up with this, let me know if my math was incorrect.

    • one year ago
  9. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    I'm also getting A=0, I don't think that's a problem though. Since I was able to get a B term.

    • one year ago
  10. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh i see the problem, (3)-(4) = (-A+C+D) - (-B+C-D) = -A + B +2D = 0

    • one year ago
  11. RolyPoly Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Uh-huh! My mistake!! Thanks :)

    • one year ago
  12. zepdrix Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Yah these things suck :) lol

    • one year ago
  13. RolyPoly Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    (2) - (4): B = 1/2 Yay!

    • one year ago
    • Attachments:

See more questions >>>

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.