text: +0
  
  # find the solution set
  
  0
  97
  3
  
  (2x+1)/(x^(2)-1)+(x)/(x^(2)-3x+2)=4
  
  Guest Jul 16, 2017
  Sort:
  
  #1
  +90192
  +2
  
  (2x+1)/(x^(2)-1)+(x)/(x^(2)-3x+2)=4
  
  I'll try and make sense of your question first
  
  $$\frac{(2x+1)}{(x^{2}-1)}+\frac{(x)}{(x^{2}-3x+2)}=4\qquad x\ne\pm1\\ \frac{(2x+1)}{(x-1)(x+1)}+\frac{(x)}{(x-2)(x-1)}=4 \qquad x\ne\pm1,\quad x\ne2\\ \frac{(2x+1)(x-2)}{(x-1)(x+1)(x-2)}+\frac{(x)(x+1)}{(x-2)(x-1)(x+1)}=4\\ (2x+1)(x-2)+(x)(x+1)=4(x-1)(x+1)(x-2)\\ 2x^2-4x+x-2+x^2+x=4(x-1)(x+1)(x-2)\\ 3x^2-3x+x-2=(x-2)(4x^2-4)\\ 3x^2-2x-2=4x^3-4x-8x^2+8\\ 0=4x^3-4x+2x-8x^2-3x^2+8+2\\ 0=4x^3-11x^2-2x+10\\$$
  
  https://www.wolframalpha.com/input/?i=4x%5E3-11x%5E2-2x%2B10%3D0
  
  Melody  Jul 16, 2017
  #2
  +1
  
  Thank you. I'm having doubts about my answer but now I see where I am wrong
  
  Guest Jul 16, 2017
  #3
  +26102
  +2
explanation: This is a math question with an answer provided by Melody. It involves solving a rational equation.
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: +0
  
  # find the solution set
  
  0
  97
  3
  
  (2x+1)/(x^(2)-1)+(x)/(x^(2)-3x+2)=4
  
  Guest Jul 16, 2017
  Sort:
  
  #1
  +90192
  +2
  
  (2x+1)/(x^(2)-1)+(x)/(x^(2)-3x+2)=4
  
  I'll try and make sense of your question first
  
  $$\frac{(2x+1)}{(x^{2}-1)}+\frac{(x)}{(x^{2}-3x+2)}=4\qquad x\ne\pm1\\ \frac{(2x+1)}{(x-1)(x+1)}+\frac{(x)}{(x-2)(x-1)}=4 \qquad x\ne\pm1,\quad x\ne2\\ \frac{(2x+1)(x-2)}{(x-1)(x+1)(x-2)}+\frac{(x)(x+1)}{(x-2)(x-1)(x+1)}=4\\ (2x+1)(x-2)+(x)(x+1)=4(x-1)(x+1)(x-2)\\ 2x^2-4x+x-2+x^2+x=4(x-1)(x+1)(x-2)\\ 3x^2-3x+x-2=(x-2)(4x^2-4)\\ 3x^2-2x-2=4x^3-4x-8x^2+8\\ 0=4x^3-4x+2x-8x^2-3x^2+8+2\\ 0=4x^3-11x^2-2x+10\\$$
  
  https://www.wolframalpha.com/input/?i=4x%5E3-11x%5E2-2x%2B10%3D0
  
  Melody  Jul 16, 2017
  #2
  +1
  
  Thank you. I'm having doubts about my answer but now I see where I am wrong
  
  Guest Jul 16, 2017
  #3
  +26102
  +2
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: This is a math question with an answer provided by Melody. It involves solving a rational equation.
  Label: question-and-answer