64х-х(в -1 степени)=-16

[latex]64x-x^{-1}=-16, \\ 64x- \frac{1}{x} +16=0, \\ \frac{64x^2+16x-1}{x} =0, \\ x \neq 0, \\ 64x^2+16x-1=0, \\ D_{/4}=128, \\ x_1= \frac{-8-\sqrt{128}}{64}=\frac{-8-8\sqrt{2}}{64}=\frac{-1-\sqrt{2}}{8}, \\ x_2= \frac{8-\sqrt{128}}{64}=\frac{8-8\sqrt{2}}{64}=\frac{1-\sqrt{2}}{8}. \\[/latex]