passwella.
Menu

WAEC Mathematics 1992 Question 10

Question 10

Quadratic Equations

Construct a quadratic equation whose roots are −½ and 2.

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

Answer: E (2x2 − 3x − 2 = 0)

Explanation

(x + ½)(x − 2) = 0, or (2x + 1)(x − 2) = 0, which expands to 2x2 − 3x − 2 = 0.