JAMB Mathematics 1994 Question 15

Question 15

Quadratic Equations

Solve for r in the following equation
1/(r − 1) + 2/(r + 1) = 3/r

  1. A.3
  2. B.4
  3. C.5
  4. D.6
Show the answer and explanation

Answer: A (3)

Explanation

Multiply through by r(r − 1)(r + 1): r(r + 1) + 2r(r − 1) = 3(r² − 1). This gives 3r² − r = 3r² − 3, so r = 3.