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WAEC Mathematics 2005 Question 5

Question 5

Quadratic Equations

Find the equation whose roots are 2 and −3 1/2.

  1. A.2x2 + 3x + 14 = 0
  2. B.2x2 + 5x + 7 = 0
  3. C.2x2 + 5x − 7 = 0
  4. D.2x2 + 3x − 14 = 0
Show the answer and explanation

Answer: D (2x2 + 3x − 14 = 0)

Explanation

(x − 2)(2x + 7) = 2x2 + 3x − 14 = 0.