$$2t^{2}+\frac{1}{2t^{2}}=7g; x+\frac{1}{x}=9$$
$x = \frac{\sqrt{77} + 9}{2} = 8.887482193696062$
$x=\frac{9-\sqrt{77}}{2}\text{, }g=\frac{2t^{2}}{7}+\frac{1}{14t^{2}}\text{ and }t\neq 0$
