x² - 9x + |k| = 0 has real roots. How many integer values can k take?
A)20 B)41 C)40 D)21

• 41
  Discriminant, D = 81 – 4|k|
  If roots are real, D > 0
  81 – 4|k| > 0
  4|k| < 81
  |k| < 20.25
  
  Hence, –20.25 < k < 20.25
  The integer values that k can take are –20, –19, –18 … 0 … 18, 19 and 20.
  41 different values
• 4 years agoHelpfull: Yes(1) No(2)