Make $a$ the subject of the formula $\frac{x}{y}=\sqrt{1-\frac{1}{{{a}^{2}}}}$. Make $x$ the s

Question

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

Accepted Answer

(a) $a=\pm\dfrac{y}{\sqrt{y^2-x^2}}$ (b) $x=3\pm\sqrt{a+\dfrac{c}{b^3}}$

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

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

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