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JAMB Mathematics 1997 Question 14

Question 14

Algebraic Expressions

Make f the subject of the formula t = √(v/(1/f + 1/g))

  1. A.(gv − t2)/gt2
  2. B.gt2/(gv − t2)
  3. C.v/(1/t2 − 1/g)
  4. D.gv/(t2 − g)
Show the answer and explanation

Answer: B (gt2/(gv − t2))

Explanation

Square: t² = vfg/(f + g). Then t²f + t²g = vfg, so f(vg − t²) = gt² and f = gt²/(gv − t²).