text: # partial fractions
  
  • Sep 12th 2009, 02:45 PM
  helloworld101
  partial fractions
  hi all
  
  am getting trouble expressing the following as a partial fraction. Can u assit me in solving it please.
  
  5x - x^2
  ____________
  x(x-1)(2x+1)
  • Sep 12th 2009, 02:56 PM
  pickslides
  Consider this
  
  $\frac{5x-x^2}{x(x-1)(x-2)} =\frac{A}{x} +\frac{B}{x-1} +\frac{C}{x-2}$
  
  $5x-x^2 =A(x-1)(x-2) +B(x-2)x +C(x-1)x$
  
  now choose values for x to solve for $A,B$ and $C$.
  
  (Rock)
  • Sep 12th 2009, 03:08 PM
  helloworld101
  how did u get (x-2)
  • Sep 12th 2009, 03:16 PM
  mr fantastic
  Quote:
  
  Originally Posted by helloworld101
  how did u get (x-2)
  
  It was a typo but the suggestion on what to do is still completely valid (all you have to do is make the required trivial correction and then continue).
  • Sep 12th 2009, 03:16 PM
  pickslides
  Oops!
  
  Must have had $x-2$ on the mind. Just use my first post and replace $x-2$ with $2x+1$ and you'll be back on track.
  
  Does that help?
  • Sep 12th 2009, 03:35 PM
  helloworld101
  thanks got the answer in the back of the book now...
explanation: The document contains a math question about expressing a given fraction as a partial fraction and a series of responses providing assistance and clarification. The initial post asks for help, and subsequent posts provide guidance and corrections. The final post indicates that the user found the answer in the back of the book.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # partial fractions
  
  • Sep 12th 2009, 02:45 PM
  helloworld101
  partial fractions
  hi all
  
  am getting trouble expressing the following as a partial fraction. Can u assit me in solving it please.
  
  5x - x^2
  ____________
  x(x-1)(2x+1)
  • Sep 12th 2009, 02:56 PM
  pickslides
  Consider this
  
  $\frac{5x-x^2}{x(x-1)(x-2)} =\frac{A}{x} +\frac{B}{x-1} +\frac{C}{x-2}$
  
  $5x-x^2 =A(x-1)(x-2) +B(x-2)x +C(x-1)x$
  
  now choose values for x to solve for $A,B$ and $C$.
  
  (Rock)
  • Sep 12th 2009, 03:08 PM
  helloworld101
  how did u get (x-2)
  • Sep 12th 2009, 03:16 PM
  mr fantastic
  Quote:
  
  Originally Posted by helloworld101
  how did u get (x-2)
  
  It was a typo but the suggestion on what to do is still completely valid (all you have to do is make the required trivial correction and then continue).
  • Sep 12th 2009, 03:16 PM
  pickslides
  Oops!
  
  Must have had $x-2$ on the mind. Just use my first post and replace $x-2$ with $2x+1$ and you'll be back on track.
  
  Does that help?
  • Sep 12th 2009, 03:35 PM
  helloworld101
  thanks got the answer in the back of the book now...
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question about expressing a given fraction as a partial fraction and a series of responses providing assistance and clarification. The initial post asks for help, and subsequent posts provide guidance and corrections. The final post indicates that the user found the answer in the back of the book.
  
  Label: question-and-answer