anonymous
  • anonymous
Use Gaussian Elimination to solve for A, B, C of the Partial Fraction Decomposition Equation. (x+3)/(x^2(x-1)) = A/x+B/x^2+C/(x-1) I have expanded it by multiplying by the LCD but do not know how to equate coefficients or set up equations to use Gaussian Elimination.. x+3 = A (x^2-x) +B(x-1) +Cx^2 Any help please :)))
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Hero
  • Hero
Use this to help: http://calc101.com/webMathematica/partial-fractions.jsp#topdoit
anonymous
  • anonymous
\[x+3=A \left( x ^{2}-x \right)+B \left( x-1 \right)+C x ^{2}=\left( A+C \right)x ^{2}+\left( -A-B \right)x-B\] now equating co-efficients 0=A+C 1=-A-B 3=-B now you can find the values of A and C
anonymous
  • anonymous
I tried using the Calc 101 website but kept getting the syntax wrong. But I will try it in the future

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anonymous
  • anonymous
@surjithayer: I found the values for A and C using your method. But how do I use Gaussian elimination from there?
anonymous
  • anonymous
|dw:1377812772036:dw|
Hero
  • Hero
@Aenn88, all you have to do is just input this: `(x+3)/(x^2(x-1))` Then click 'Do It'
Hero
  • Hero
\[\theta_1 = A \\\theta_2 = B \\\theta_3 = C\]
anonymous
  • anonymous
Ok thank you both! I finally worked it out.

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