Algebraic Expressions, Identities and Formulae - Changing the Subject of a Formula

Algebraic Expressions, Identities and Formulae - Changing the Subject of a Formula

IP 4

Make \(x\) the subject of the formula \({{\left( ax-1 \right)}^{2}}-a={{b}^{3}}\).
Make \(k\) the subject of the formula \(h=\frac{2\sqrt{k}}{3-\sqrt{k}}\).

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Answer:(a) \(x=\dfrac{1\pm\sqrt{a+b^3}}{a}\) (b) \(k=\dfrac{9h^2}{(h+2)^2}\)

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