WAEC Further Mathematics 2019 Question 13

Question 13

Surds

Find the value of x for which 6√(4x2 + 1) = 13x, where x > 0.

  1. A.6/5
  2. B.25/24
  3. C.24/25
  4. D.5/6
Show the answer and explanation

Answer: A (6/5)

Explanation

Square: 36(4x² + 1) = 169x², so 25x² = 36 and x = 6/5 (x > 0).