Question

Ifx^2+1/x^2=23thenx+1/xis

Answer 1

${x}^{2} + \frac{1}{x} = 23 \\ (x + \frac{1}{x} ) {}^{2} = x {}^{2} + \frac{1}{ {x}^{2} } + 2 \\ (x + \frac{1}{x} ) {}^{2} = 23 + 2 \\ x + \frac{1}{x} = \sqrt{25} \\ x + \frac{1}{x} = 5$