$$2^{x}+\frac{1}{2^{x}}=\frac{17}{4}$$
$x=\frac{i\times 2\pi n_{1}+\arctan(\frac{\sqrt{285}}{2})i}{\ln(2)}\text{, }n_{1}\in \mathrm{Z}$
$x=\frac{i\times 2\pi n_{2}}{\ln(2)}+\log_{2}\left(\frac{-\sqrt{285}i+2}{17}\right)\text{, }n_{2}\in \mathrm{Z}$
