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WAEC Mathematics 2006 Question 34

Question 34

Algebraic Expressions

If P = [Q(R − T)/15]1/3, make T the subject of the relation.

  1. A.T = (R + P3)/15Q
  2. B.T = (R − 15P3)/Q
  3. C.T = R − 15P3/Q
  4. D.T = (15R − Q)/P3
Show the answer and explanation

Answer: C (T = R − 15P3/Q)

Explanation

Cube both sides: P3 = Q(R − T)/15, so R − T = 15P3/Q and T = R − 15P3/Q.