Solve $3{{\left( x-\frac{1}{x} \right)}^{2}}-13x+\frac{13}{x}-10=0$, leaving your answers in exact

Question

Solve $3{{\left( x-\frac{1}{x} \right)}^{2}}-13x+\frac{13}{x}-10=0$, leaving your answers in exact form.

Accepted Answer

$x=\frac{-1\pm\sqrt{10}}{3}$ or $x=\frac{5\pm\sqrt{29}}{2}$

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