Answer:
Step-by-step explanation:
[tex]x-\frac{1}{x}=5\\(x-\frac{1}{x})^{2}=5^{2} \\x^{2}-2*x*\frac{1}{x}+ (\frac{1}{x}) ^{2}=25\\ x^{2}-2+(\frac{1}{x}) ^{2}=25\\x^{2}+(\frac{1}{x}) ^{2}=25+2\\x^{2}+(\frac{1}{x}) ^{2}=27[/tex]
