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GCE Mathematics 1989 Question 24

Question 24

Quadratic Equations

Solve the following equation: 6x2 − 7x − 5 = 0

  1. A.x = ½ or x = −2½
  2. B.x = 1/3 or x = 2½
  3. C.x = 5/3 or x = −½
  4. D.x = −12/3 or x = ½
  5. E.x = 5/6 or x = −1
Show the answer and explanation

Answer: C (x = 5/3 or x = −½)

Explanation

6x2 − 7x − 5 = (3x − 5)(2x + 1) = 0, so x = 5/3 or x = −½.