Rearranging formulae with square roots

Rearranging formulae with square roots

Secondary 2
3 marks
TGM Original Questions

Core stretch

Express the positive \(p\) in terms of \(r,s,q,m\) in \(\dfrac{r}{3\pi}=\sqrt{\dfrac{q}{s-mp^2}}\).[3]

Assume \(r>0\), \(m,q\ne0\) and \(\dfrac{sr^2-9\pi^2q}{mr^2}>0\).

Solution:

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Answer:\(p=\sqrt{\dfrac{sr^2-9\pi^2 q}{mr^2}}\).

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