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DIA [1.3K]
3 years ago
11

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

Mathematics
1 answer:
Stella [2.4K]3 years ago
8 0
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}
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