Expressing \(𝑘\) in Terms of \(𝑎\) from a Square-Root Formula

Expressing \(𝑘\) in Terms of \(𝑎\) from a Square-Root Formula

Secondary 2

Given that \(k=2\sqrt{3a-{{k}^{2}}}\), express \(k\) in terms of \(a\).

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Answer:\( k = \sqrt{\dfrac{12a}{5}} \)

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