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Worksheet on solving quadratic equations by splitting the middle term

(Answers are below the questions)


Questions:

  1. a2 + 6a + 8 = 0
  2. 10x2 + 3x - 4 = 0
  3. Find the value of (x  +4y) : (x + 4y)2 + (x + 4y) - 90 = 0
  4. a2 + 2a/3 + 1/9 = 0
  5. 12c2 - c - 6 = 0
  6. 2x2 + x - √2 = 0
  7. x2 - 5x + 6 = 0





  8.  

     
  9.  


Answers:

  1. a = {-4, -2}
  2. x = {-4/5, 1/2}
  3. (x + 4y) = {9, -10}
  4. a = -1/3
  5. c = {-2/3, 3/4}
  6. x = {1/√2 , -√2}
  7. x = {2, 3}
  8. x = {-14, 14}
  9. x = {-4/3, 2}
  10. x = {-17/2, 3}

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