text: # 5 examples of quadratic standard equation written in standard form
  
  2
  by Muffin23
  
  2014-06-19T21:53:51+08:00
  5x^2 - 12x + 2 = 0 a=5 b=-12 c=2
  quadratic equations have 2 solutions; except when the discriminate = 0. Then there is a duplicate of one solution, or a "double root", or multiplicity of 2.
  ex. 2x^2 -8x + 8 = 0 b^2 - 4ac = 64 - (4*2*8) = 0; where a double root occurs.
  
  sometimes you can factor the quadratic equation into two terms. If you can do that quickly and easily, it's faster than using the quadratic equation. For example, say you factor a q.e. into:
  (x+5)(x-3). The two answers or roots are x = -5 and x =3. Either of which would make the result 0.
  x²+8x-10=0
  pwede..
  a=1 b=8 c=-10 Yan kasunod nung saakin
  OO YAN NGA
  2014-06-19T22:01:49+08:00
  Examples:
  
  x2 - 3x + 1 = 0
  2w2 - 4w - 5 = 0
  z2 - z - 3 = 0
  5x2 + x - 1 = 0
  
  t^2 + 3t + 2 = 0
explanation: The document provides examples of quadratic equations written in standard form and includes some additional information about solving quadratic equations, such as the concept of double roots and factoring. However, it does not contain a specific question or a question-and-answer pair.
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  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: # 5 examples of quadratic standard equation written in standard form
  
  2
  by Muffin23
  
  2014-06-19T21:53:51+08:00
  5x^2 - 12x + 2 = 0 a=5 b=-12 c=2
  quadratic equations have 2 solutions; except when the discriminate = 0. Then there is a duplicate of one solution, or a "double root", or multiplicity of 2.
  ex. 2x^2 -8x + 8 = 0 b^2 - 4ac = 64 - (4*2*8) = 0; where a double root occurs.
  
  sometimes you can factor the quadratic equation into two terms. If you can do that quickly and easily, it's faster than using the quadratic equation. For example, say you factor a q.e. into:
  (x+5)(x-3). The two answers or roots are x = -5 and x =3. Either of which would make the result 0.
  x²+8x-10=0
  pwede..
  a=1 b=8 c=-10 Yan kasunod nung saakin
  OO YAN NGA
  2014-06-19T22:01:49+08:00
  Examples:
  
  x2 - 3x + 1 = 0
  2w2 - 4w - 5 = 0
  z2 - z - 3 = 0
  5x2 + x - 1 = 0
  
  t^2 + 3t + 2 = 0
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document provides examples of quadratic equations written in standard form and includes some additional information about solving quadratic equations, such as the concept of double roots and factoring. However, it does not contain a specific question or a question-and-answer pair.
  
  Label: no-question