SOLUTION: Hi, I'm struggling with this question and would really appreciate some help;
In the partial fraction solution,
(x-3)/x(x^2+3) = a/x + (bx + c) /(x^2+3)
What are the valu
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Question 951325: Hi, I'm struggling with this question and would really appreciate some help;
In the partial fraction solution,
(x-3)/x(x^2+3) = a/x + (bx + c) /(x^2+3)
What are the values of a, b and c?
I'm multiplying through to compare coefficients but end up an x^2 term, or splitting the original fraction treating it as having distinct linear factors and then getting an x cubed term
Thanks for your help,
Rob
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Yes, a squared term should occur.
Now comparing the numerator expressions
Equations for the coefficients should give a system,
-
The last equation in the system means ; therefore using the first in the system, . The other equation is simply .
The decomposed fraction should be .
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