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WAEC Mathematics 2023 Question 14

Question 14

Algebraic Expressions

Make x the subject of the relation: y = (ax3 − b)/3z

  1. A.x = ∛(3yzb/a)
  2. B.x = ∛((3yz + b)/a)
  3. C.x = ∛((3yz − b)/a)
  4. D.x = ∛((3y3 + b)/az)
Show the answer and explanation

Answer: B (x = ∛((3yz + b)/a))

Explanation

Multiply by 3z: 3yz = ax³ − b. Then ax³ = 3yz + b, x³ = (3yz + b)/a, and take the cube root.