Question

Здравствуйте, 34 номер пожалуйста

Answer 1

$\displaystyle\bf\\x^{2} +\frac{1}{x^{2} } =2\\\\\\\Big(x^{2} +\frac{1}{x^{2} } \Big)^{3} =2^{3} \\\\\\x^{6} +3\cdot x^{4} \cdot \frac{1}{x^{2} } +3\cdot x^{2} \cdot \frac{1}{x^{4} } +\frac{1}{x^{6} }=8 \\\\\\x^{6} +3\cdot x^{2} + \frac{3}{x^{2} } +\frac{1}{x^{6} }=8 \\\\\\x^{6} +3\cdot \Big(\underbrace{x^{2} + \frac{1}{x^{2} }}_{2}\Big)+\frac{1}{x^{6} }=8 \\\\\\x^{6} +3\cdot 2+\frac{1}{x^{6} } =8\\\\\\x^{6} +6+\frac{1}{x^{6} } =8\\\\\\x^{6} +\frac{1}{x^{6} } =2\\\\\\Otvet \ : \ E$