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WAEC Mathematics 2013 Question 32

Question 32

Quadratic Equations

Find the values of k in the equation 6k2 = 5k + 6.

  1. A.{−2/3, −3/2}
  2. B.{−2/3, 3/2}
  3. C.{2/3, −3/2}
  4. D.{2/3, 3/2}
Show the answer and explanation

Answer: B ({−2/3, 3/2})

Explanation

6k2 − 5k − 6 = 0 factorises as (3k + 2)(2k − 3) = 0, so k = −2/3 or 3/2.