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WAEC Mathematics 1994 Question 22

Question 22

Quadratic Equations

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

  1. A.x2 − 11/3x + 6 = 0
  2. B.x2 − 11x + 6 = 0
  3. C.3x2 − 11x + 2 = 0
  4. D.3x2 − 11x − 2 = 0
  5. E.3x2 − 11x + 6 = 0
Show the answer and explanation

Answer: E (3x2 − 11x + 6 = 0)

Explanation

Sum of roots = 11/3 and product = 2, so x² − (11/3)x + 2 = 0. Multiply by 3: 3x² − 11x + 6 = 0.