Partial Fractions: Is My Set Up Right?

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Homework Help Overview

The discussion revolves around the setup of a partial fraction decomposition for the expression \((-x^2+x+3)/((x-2)^2(x+1))\). Participants are evaluating whether the original poster's configuration of terms is correct.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are examining the correctness of the partial fractions setup and discussing the values assigned to the coefficients A, B, and C. There is a focus on verifying the value of A, with suggestions to re-evaluate it.

Discussion Status

The discussion indicates that the setup of the partial fractions is generally accepted as correct, but there is uncertainty regarding the value of A. The original poster plans to reassess their calculations based on feedback.

Contextual Notes

There is mention of a potential issue with a Laplace transform, which may relate to the correctness of the partial fractions or the source material being referenced.

cragar
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Homework Statement


partial fractions


(-x^2+x+3)/((x-2)^2(x+1)) = A/(x-2) + B/((x-2)^2) + C/(x+1)

is my partial fractions set up right

A= -1/9 B = 1/3 C=1/9
 
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Do you have a question, or...?
 
The setup looks right. I'm not so sure about your value for A though.
 
ok so the setup is right , i will go back through and solve for A again.
i think A=-10/9
 
Last edited:
cragar said:
ok so the setup is right , i will go back through and solve for A again.
i think A=-10/9

Much better.
 
ya i guess my laplace transform was wrong if my partial fractions are right or my book is wrong .
 

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