Question

срочнооооооо!!!!Даю 40 балов !​

Answer 1

$\displaystyle\bf\\x-\frac{1}{x} =5\\\\\\\Big(x-\frac{1}{x} \Big)^{2} =5^{2} \\\\\\x^{2} -2\cdot x\cdot \frac{1}{x} +\Big(\frac{1}{x} \Big)^{2} =25\\\\\\x^{2} -2+\frac{1}{x^{2} } =25\\\\\\x^{2} +\frac{1}{x^{2} } =25+2\\\\\\\boxed{x^{2} +\frac{1}{x^{2} } =27}$