$$\left. \begin{array} { l } { f ^ { 3 } \sqrt { 24 } + \sqrt [ 3 ] { 81 } - 2 \sqrt [ 3 ] { 3 } = x x ^ { 3 } = } \\ { 243 } \end{array} \right.$$
$x=i\sqrt[4]{2\sqrt{6}f^{3}+\sqrt[3]{3}}$
$x=\sqrt[4]{2\sqrt{6}f^{3}+\sqrt[3]{3}}$
$x=-\sqrt[4]{2\sqrt{6}f^{3}+\sqrt[3]{3}}$
$x=-i\sqrt[4]{2\sqrt{6}f^{3}+\sqrt[3]{3}}\text{, }g=243$
$x=\sqrt[4]{2\sqrt{6}f^{3}+\sqrt[3]{3}}$
$x=-\sqrt[4]{2\sqrt{6}f^{3}+\sqrt[3]{3}}\text{, }f\geq -\frac{1536^{\frac{17}{18}}}{1536}\text{ and }g=243$
