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JAMB Mathematics 1989 Question 13

Question 13

Algebraic Expressions

Make R the subject of the formula S = √((2R + T)/2RT)

  1. A.R = T/(TS2 − 1)
  2. B.R = T/(2(TS2 − 1))
  3. C.R = T/(TS2 + 1)
  4. D.R = T/(2(TS2 + 1))
Show the answer and explanation

Answer: B (R = T/(2(TS2 − 1)))

Explanation

Square both sides: 2RTS² = 2R + T. Collect R: R(2S²T − 2) = T, so R = T/(2(TS² − 1)).