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JAMB Mathematics 2023 Question 36

Question 36

Algebraic Expressions

Make t the subject of the formula n = zt + ½at2

  1. A.1/a[z ± √(z2 − 2an)]
  2. B.1/a[z ± √(z2 + 2an)]
  3. C.1/a[−z ± √(z2 + 2an)]
  4. D.1/a[−z ± √(z2 − 2an)]
Show the answer and explanation

Answer: C (1/a[−z ± √(z2 + 2an)])

Explanation

Rearrange as at² + 2zt − 2n = 0. The quadratic formula gives t = [−2z ± √(4z² + 8an)]/(2a) = (1/a)[−z ± √(z² + 2an)].