JAMB Mathematics 2013 Question 11

Question 11

Algebraic Expressions

If S = √(t2 − 4t + 4), find t in terms of S.

  1. A.S − 2
  2. B.S2 + 2
  3. C.S2 − 2
  4. D.S + 2
Show the answer and explanation

Answer: D (S + 2)

Explanation

t2 − 4t + 4 = (t − 2)2, so S = t − 2 (taking t ≥ 2) and t = S + 2.