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Make Q the subject of formula when L frac 4 3 M... - JAMB Mathematics 2008 Question

Make Q the subject of formula when \(L=\frac{4}{3}M\sqrt{PQ}\)
A
\(\frac{9L^2}{16M^2}P\)
B
\(\frac{3L}{4M\sqrt{P}}\)
C
\(\frac{\sqrt{3L}}{4MP}\)
D
\(\frac{3L^2}{16M^2}P\)
correct option: a
\(L=\frac{4}{3}M\sqrt{PQ}\\ =\frac{3}{4M} \times L = \sqrt{PQ}\\ =\left(\frac{3L}{4M}\right)^2=(\sqrt{PQ})^2\\ =\frac{9L^2}{16M^2}=PQ\\ =Q=\frac{9L^2}{16M^2 P}\)
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