Make Q the subject of formula when \(L=\frac{4}{3}M\sqrt{PQ}\)

  • A \(\frac{9L^2}{16M^2P}\)
  • B \(\frac{3L}{4M\sqrt{P}}\)
  • C \(\frac{\sqrt{3L}}{4MP}\)
  • D \(\frac{3L^2}{16M^2}P\)
jamb 2008mathematics

The correct answer is A. \(\frac{9L^2}{16M^2P}\)

Given the formula \(L=\frac{4}{3}M\sqrt{PQ}\), we can make Q the subject of the formula by following these steps:

1. Square both sides of the equation to get rid of the square root sign: \(L^2=\frac{16}{9}M^2PQ\)

2. Divide both sides by \(\frac{16}{9}M^2P\) to isolate Q on one side: \(Q=\frac{9L^2}{16M^2P}\)

So, the correct answer is \(\frac{9L^2}{16M^2P}\).

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