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WAEC Mathematics 2017 Question 40

Question 40

Quadratic Equations

The roots of a quadratic equation are −½ and ⅔. Find the equation.

  1. A.6x2 − x + 2 = 0
  2. B.6x2 − x − 2 = 0
  3. C.6x2 + x − 2 = 0
  4. D.6x2 + x + 2 = 0
Show the answer and explanation

Answer: B (6x2 − x − 2 = 0)

Explanation

(2x + 1)(3x − 2) = 6x² − 4x + 3x − 2 = 6x² − x − 2.