GCE Mathematics 1990 Question 24

Question 24

Quadratic Equations

Solve the equation 2a2 − 3a − 27 = 0.

  1. A.3/2, 9
  2. B.−2/3, 9
  3. C.3, 9/2
  4. D.−3, −9/2
  5. E.−3, 9/2
Show the answer and explanation

Answer: E (−3, 9/2)

Explanation

2a2 − 3a − 27 = (2a − 9)(a + 3) = 0, so a = 9/2 or a = −3.