Don't use calculus

Algebra Level 3

\[\large \frac{(x+\frac{1}{x})^{6}-(x^{6}+\frac{1}{x^{6}})-2}{(x+\frac{1}{x})^{3}+(x^{3}+\frac{1}{x^{3}})}\]

Find the minimum value of the expression above for positive \(x\).


Source: TN RMO 2015
×

Problem Loading...

Note Loading...

Set Loading...