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WAEC Mathematics 2017 Question 41

Question 41

Algebraic Expressions

Make x the subject of the relation d = √(6/x − y/2).

  1. A.x = 6/d2 + 12/y
  2. B.x = 12/(2d2 − y)
  3. C.x = 12/y − 2d2
  4. D.x = 12/(2d2 + y)
Show the answer and explanation

Answer: D (x = 12/(2d2 + y))

Explanation

d² = 6/x − y/2, so 6/x = (2d² + y)/2 and x = 12/(2d² + y).