Question on: WAEC Mathematics - 2008
If p = (\frac{3}{5} \sqrt{\frac{q}{r}}), express q in terms of p and r
A
\(\frac{9}{25} pr^2\)
B
\(\frac{9}{25} p^2r\)
C
\(\frac{25}{9} p^2r\)
D
\(\frac{25}{9} pr^2\)
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Correct Option: C
p = (\frac{3}{5} \sqrt{\frac{q}{r}}; \frac{5p}{3} = \sqrt{\frac{q}{r}})
= ((\frac{5}{3}p))2
= (\frac{q}{r})
= (\frac{25p^2}{9} = \frac{q}{r})
q = (\frac{25}{9} p^2 r)
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