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Make Q the subject of the formula when L frac 4... - JAMB Mathematics 2008 Question

Make Q the subject of the 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
\(\frac{3L^2}{16m^2P}\)
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Correct Option: A

L = (\frac {4}{3}) m (\sqrt{PQ})

make Q the subject

(\frac {L}{1}) = (\frac {4}{3}) m (\sqrt{PQ})

3L = 4m (\sqrt{PQ})

Taking the square of both sides

(3L)2 = (4m (\sqrt{PQ}))

(\frac {9L^2}{16m^2P}) = (\frac {16m^2PQ}{16m^2P})

Q = (\frac {9L^2}{16m^2P})

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