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WAEC Mathematics 1997 Question 10

Question 10

Algebraic Expressions

Make q the subject of the relation t = √(pq/r − r2q)

  1. A.q = rt2/(p − r3)
  2. B.q = t2/(p − r2)
  3. C.q = rt/(p − r3)
  4. D.q = (p − r3)/rt2
  5. E.q = rt2(p − r3)
Show the answer and explanation

Answer: A (q = rt2/(p − r3))

Explanation

Square: t2 = pq/r − r2q. Multiply by r: rt2 = q(p − r3), so q = rt2/(p − r3).