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JAMB Mathematics 1989 Question 24

Question 24

Quadratic Equations

What value of Q will make the expression 4x2 + 5x + Q a complete square?

  1. A.25/16
  2. B.25/64
  3. C.5/8
  4. D.5/4
Show the answer and explanation

Answer: A (25/16)

Explanation

(2x + a)² = 4x² + 4ax + a², so 4a = 5 and a = 5/4. Then Q = a² = 25/16.