11. x squared - 7x = 0 12. 3x squared - 4x = 20x + 27

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ambeaustin911 ambeaustin911

02-11-2015
Mathematics

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11. x squared - 7x = 0 12. 3x squared - 4x = 20x + 27

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Panoyin Panoyin · Answer 1 · 2015-11-02T16:38:37+01:00

11. x² - 7x = 0
      x(x) - x(7) = 0
      x(x - 7) = 0
      x = 0 or x - 7 = 0
   + 7 + 7
   x = 7

Solution Set: {0, 7}

12. 3x² - 4x = 20x + 27
   + 4x   + 4x
         3x² = 24x + 27
      3x² - 24x - 27 = 0
      x = -(-24) ± √((-24)² - 4(3)(-27))
      2(3)
   x = 24 ± √(576 + 324)
   6
   x = 24 ± √(900)
   6
   x = 24 ± 30
   6
   x = 4 ± 5
   x = 4 + 5 or x = 4 - 5
   x = 9 or x = -1

Solution Set: {9, -1}