JAMB Mathematics 1997 Question 15

Question 15

Quadratic Equations

What value of g will make the expression 4x2 − 18xy + g a perfect square?

  1. A.9
  2. B.9y2/4
  3. C.81y2
  4. D.81y2/4
Show the answer and explanation

Answer: D (81y2/4)

Explanation

(2x − 9y/2)² = 4x² − 18xy + 81y²/4, so g = 81y²/4.