Rearranging formulae with square roots

Rearranging formulae with square roots

Secondary 2
TGM Original Questions
  1. Given \(p=\sqrt{\frac{4y}{7y-2}}\), express \(y\) in terms of \(p\).
  2. Express the positive \(p\) in terms of \(r,s,q,m\) in \(\frac{r}{3\pi}=\sqrt{\frac{q}{s-mp^2}}\).

Solution:

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Answer:(a) \(y=\frac{2p^2}{7p^2-4}\); (b) \(p=\sqrt{\frac{sr^2-9\pi^2 q}{mr^2}}\).

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