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WAEC Mathematics 2004 Question 42

Question 42

Quadratic Equations

Which of the following quadratic equations has −1/2 and 3/4 as its roots?

  1. A.8x2 + 11x − 3 = 0
  2. B.8x2 − 11x − 3 = 0
  3. C.8x2 + 2x − 3 = 0
  4. D.8x2 − 2x − 3 = 0.
Show the answer and explanation

Answer: D (8x2 − 2x − 3 = 0.)

Explanation

(2x + 1)(4x − 3) = 8x2 − 2x − 3 = 0.