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WAEC Mathematics 1999 Question 23

Question 23

Algebraic Expressions

If y = √(ax − b) express x in terms of y, a and b.

  1. A.x = (y2 − b)/a
  2. B.x = (y + b)/a
  3. C.x = (y − b)/a
  4. D.x = (y2 + b)/a
Show the answer and explanation

Answer: D (x = (y2 + b)/a)

Explanation

Square both sides: y2 = ax − b, so ax = y2 + b and x = (y2 + b)/a.