Rearranging a Radical Formula to Make \(𝑝\) the Subject

Rearranging a Radical Formula to Make \(𝑝\) the Subject

Secondary 2

Given that \(m=\sqrt{\frac{nq}{p}-{{n}^{2}}}\), make \(p\) the subject of the formula.
Given that \(n=-4\), \(m=3\) and \(q=1\), find the value of \(p\).

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Answer:(a) \(p=\frac{nq}{n^2+m^2}\), provided \(n^2+m^2\ne0\) (b) \(p=-\frac4{25}\)

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