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Make q the subject of the relation t = √(pq/r  - r\(^2\)q)

Mathematics
WAEC 1997

Make q the subject of the relation t = √(pq/r  - r\(^2\)q)

  • A. q = \(\frac{rt^2}{(p - r^3)}\)
  • B. q = \(\frac{t^2}{(p - r^2)}\)
  • C. q = \(\frac{rt}{(p - r^3)}\)
  • D. q = \(\frac{(p - r^3)}{rt^2}\)
  • E. q = rt\(^2\)(p - r\(^3\))
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Correct Answer: Option A
Explanation

t = √pq/r - r\(^2\)q

multiply both sides by the L.C.M, r


r\(^2\) = pq - qr\(^3\)

collect like terms on the RHS
q(p - r3) = rt\(^2\)


q = \(\frac{rt^2}{(p - r^3)}\)

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