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Make q the subject of the formula in the equation \(\frac{mn}{a^2} - \frac{pq}{b^2} = 1\)

Mathematics
JAMB 2019

Make q the subject of the formula in the equation \(\frac{mn}{a^2} - \frac{pq}{b^2} = 1\)

  • A. \(q = \frac{b^2(mn - a^2)}{a^2 p}\)
  • B. \(q = \frac{m^2 n - a^2}{p^2}\)
  • C. \(q = \frac{mn - 2b^2}{a^2}\)
  • D. \(q = \frac{b^2 (n^2 - ma^2)}{n}\)
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Correct Answer: Option A
Explanation

\(\frac{mn}{a^2} - \frac{pq}{b^2} = 1\)

\(\frac{mn}{a^2} - 1 = \frac{pq}{b^2}\)

\(\frac{mn - a^2}{a^2} = \frac{pq}{b^2}\)

\(pq = \frac{b^2 (mn - a^2)}{a^2}\)

\(q = \frac{b^2(mn - a^2)}{a^2 p}\)

There is an explanation video available below.


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