text: Question
  
  # Find the roots of  $$3x^2\,-\,11x\,+\,6\,=\,0$$
  
  A
  3,23
  B
  3,23
  C
  3,23
  D
  3,23
  
  Solution
  
  ## The correct option is A $$\displaystyle\,3,\,\frac{2}{3}$$$$3x^2-11x+6=0$$$$\therefore 3x^2-9x-2x+6=0$$$$\therefore 3x(x-3)-2(x-3)=0$$$$\therefore (3x-2)(x-3)=0$$$$\therefore x=3$$ and $$x=\dfrac{2}{3}$$Mathematics
  
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explanation: The document contains a math question asking for the roots of the quadratic equation \(3x^2 - 11x + 6 = 0\). It also provides multiple-choice options and a detailed solution that correctly identifies the roots as \(3\) and \(\frac{2}{3}\).
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: Question
  
  # Find the roots of  $$3x^2\,-\,11x\,+\,6\,=\,0$$
  
  A
  3,23
  B
  3,23
  C
  3,23
  D
  3,23
  
  Solution
  
  ## The correct option is A $$\displaystyle\,3,\,\frac{2}{3}$$$$3x^2-11x+6=0$$$$\therefore 3x^2-9x-2x+6=0$$$$\therefore 3x(x-3)-2(x-3)=0$$$$\therefore (3x-2)(x-3)=0$$$$\therefore x=3$$ and $$x=\dfrac{2}{3}$$Mathematics
  
  Suggest Corrections
  
  0
  
  Similar questions
  View More
  
  People also searched for
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distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question asking for the roots of the quadratic equation \(3x^2 - 11x + 6 = 0\). It also provides multiple-choice options and a detailed solution that correctly identifies the roots as \(3\) and \(\frac{2}{3}\).
  
  Label: question-and-answer