[tex](x+\frac{1}{x} ^{2} )= 6^{2} \\\\x^{2} + 2.x.\frac{1}{x} + \frac{1}{x^{2} } = 36\\\\x^{2} + 2 + \frac{1}{x^{2} } = 36\\\\x^{2} + \frac{1}{x^{2} } = 34[/tex]
