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JAMB Mathematics 1987 Question 20

Question 20

Algebraic Expressions

Make y the subject of the formula Z = x2 + 1/y3

  1. A.y = 1/(Z − x2)3
  2. B.y = 1/(Z + x2)1/3
  3. C.y = 1/(Z − x2)1/3
  4. D.y = 1/(∛Z − ∛x2)
Show the answer and explanation

Answer: C (y = 1/(Z − x2)1/3)

Explanation

1/y³ = Z − x², so y³ = 1/(Z − x²). Taking cube roots, y = 1/(Z − x²)1/3.