text: Solve the quadratic equations by factorization method only x2 + (1 – 2i)x – 2i = 0
  
  Asked by Sakshi | 1 year ago |  181
  
  ##### Solution :-
  
  x2 + (1 – 2i)x – 2i = 0
  
  Given: x2 + (1 – 2i)x – 2i = 0
  
  x2 + x – 2ix – 2i = 0
  
  x(x + 1) – 2i(x + 1) = 0
  
  (x + 1) (x – 2i) = 0
  
  x + 1 = 0 or x – 2i = 0
  
  x = –1 or 2i
  
  The roots of the given equation are –1, 2i
  
  Answered by Aaryan | 1 year ago
  
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explanation: The text contains a math question and its solution. The question is to solve the quadratic equation \(x^2 + (1 - 2i)x - 2i = 0\) by factorization. The solution is provided, showing the steps to factorize the equation and find the roots, which are \(-1\) and \(2i\).
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: Solve the quadratic equations by factorization method only x2 + (1 – 2i)x – 2i = 0
  
  Asked by Sakshi | 1 year ago |  181
  
  ##### Solution :-
  
  x2 + (1 – 2i)x – 2i = 0
  
  Given: x2 + (1 – 2i)x – 2i = 0
  
  x2 + x – 2ix – 2i = 0
  
  x(x + 1) – 2i(x + 1) = 0
  
  (x + 1) (x – 2i) = 0
  
  x + 1 = 0 or x – 2i = 0
  
  x = –1 or 2i
  
  The roots of the given equation are –1, 2i
  
  Answered by Aaryan | 1 year ago
  
  ### Related Questions
  
  #### Show that 1 + i10 + i20 + i30 is a real number?
  
  Show that 1 + i10 + i20 + i30 is a real number?
  
  #### Solve the quadratic equations by factorization method only 6x2 – 17ix – 12 = 0
  
  Solve the quadratic equations by factorization method only 6x2 – 17ix – 12 = 0
  
  #### Solve the quadratic equations by factorization method only x2 + 10ix – 21 = 0
  
  Solve the quadratic equations by factorization method only x2 + 10ix – 21 = 0
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The text contains a math question and its solution. The question is to solve the quadratic equation \(x^2 + (1 - 2i)x - 2i = 0\) by factorization. The solution is provided, showing the steps to factorize the equation and find the roots, which are \(-1\) and \(2i\).
  
  Label: question-and-answer