Rearranging formulae with square roots

Rearranging formulae with square roots

Secondary 2
3 marks
TGM Original Questions

Core stretch

Given \(p=\sqrt{\dfrac{4y}{7y-2}}\), express \(y\) in terms of \(p\).[3]

Assume \(p\ge0\) and \(7p^2\ne4\).

Solution:

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Answer:\(y=\dfrac{2p^2}{7p^2-4}\)

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