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WAEC Mathematics 2015 Question 34

Question 34

Algebraic Expressions

Make k the subject of the relation T = √((Tk − H)/(k − H))

  1. A.k = H(T2 − 1)/(T2 − T)
  2. B.k = HT/(T − 1)2
  3. C.k = H(T2 + 1)/T
  4. D.k = H(T − 1)/T
Show the answer and explanation

Answer: A (k = H(T2 − 1)/(T2 − T))

Explanation

Square: T²(k − H) = Tk − H, so k(T² − T) = T²H − H and k = H(T² − 1)/(T² − T).