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WAEC Mathematics 2023 Question 13

Question 13

Quadratic Equations

Find the quadratic equation whose roots are 2/3 and −3/4.

  1. A.y2 + y − 6 = 0
  2. B.12y2 − y − 6 = 0
  3. C.12y2 + y − 6 = 0
  4. D.12y2 − y + 6 = 0
Show the answer and explanation

Answer: C (12y2 + y − 6 = 0)

Explanation

(3y − 2)(4y + 3) = 12y² + 9y − 8y − 6 = 12y² + y − 6 = 0.