WAEC Further Mathematics 2024 Question 3

Question 3

Surds

If √x − 6/√x = 1 find the value of x.

  1. A.9
  2. B.16
  3. C.25
  4. D.36
Show the answer and explanation

Answer: A (9)

Explanation

Let u = √x: u − 6/u = 1 gives u² − u − 6 = 0, (u − 3)(u + 2) = 0. Since u = √x > 0, u = 3 and x = 9.