Explicación paso a paso:
[tex]x + \frac{8}{x} - 8 = \frac{20}{12} [/tex]
[tex] \frac{ {x}^{2} + 8 }{ x} - 8 = \frac{5}{3} [/tex]
[tex] \frac{ {x}^{2} - 8x + 8}{x} = \frac{5}{3} [/tex]
[tex] {x}^{2} - 8x - \frac{5}{3} x + 8 = 0[/tex]
[tex] {x}^{2} - \frac{29}{3} x + 8 = 0[/tex]
[tex]x = \frac{29 \frac{ + }{} \sqrt{553} }{6} [/tex]
