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WAEC Mathematics 2016 Question 10

Question 10

Quadratic Equations

The roots of a quadratic equation are 4/3 and −3/7. Find the equation.

  1. A.21x2 − 19x − 12 = 0
  2. B.21x2 + 37x − 12 = 0
  3. C.21x2 − x + 12 = 0
  4. D.21x2 + 7x − 4 = 0
Show the answer and explanation

Answer: A (21x2 − 19x − 12 = 0)

Explanation

(3x − 4)(7x + 3) = 21x² + 9x − 28x − 12 = 21x² − 19x − 12.