Mathematics

Solve the equation 2a(^2) – 3a – 27 = 0

Solve the equation 2a(^2) – 3a – 27 = 0

  • A.
    3/2, 9
  • B.
    -2/3, 9
  • C.
    3, 9/2
  • D.
    -3, -9/2
  • E.
    -3, 9/2
Correct Answer: Option E
Explanation

2a(^2) – 3a – 27 = 0

2a(^2) – 9a + 6a – 27 = 0

a(2a – 9) + 3(2a – 9) = 0

(a + 3)(2a – 9) = 0

a = -3 or a = (frac{9}{2})