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JAMB Mathematics 1982 Question 22

Question 22

Algebraic Expressions

Solve for x, if (2/x)/(1/p2 + 1/q2) = m

  1. A.2pq/m(p + q)
  2. B.2m(p2 + q2)/p2q2
  3. C.2p2q2/m(p2 + q2)
  4. D.4pq/m
  5. E.2/m(p2 + q2)
Show the answer and explanation

Answer: C (2p2q2/m(p2 + q2))

Explanation

1/p² + 1/q² = (p² + q²)/p²q², so the left side is 2p²q²/(x(p² + q²)) = m. Hence x = 2p²q²/m(p² + q²).