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Feb 19th, 2018
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Python 0.71 KB | None | 0 0
  1. import math
  2.  
  3.  
  4. def roots_of_quadratic_equation(a, b, c):
  5.     if a == 0:
  6.         if b == 0:
  7.             if c == 0:
  8.                 return ['all']
  9.             else:
  10.                 return []
  11.         else:
  12.             return [-c / b]
  13.     else:
  14.         if discriminant(a, b, c) > 0:
  15.             return [larger_root(b / a, c / a), smaller_root(b / a, c / a)]
  16.         elif discriminant(a, b, c) == 0:
  17.             return [larger_root(b / a, c / a)]
  18.         else:
  19.             return []
  20.  
  21.  
  22. def discriminant(a, b, c):
  23.     return b ** 2 - 4 * a * c
  24.  
  25.  
  26. def larger_root(p, q):
  27.     return (-p + math.sqrt(discriminant(1, p, q))) / 2
  28.  
  29.  
  30. def smaller_root(p, q):
  31.     return (-p - math.sqrt(discriminant(1, p, q))) / 2
  32. a
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