Question

if x2+1/x2=5 find x+1/x​

Answer 1

${x}^{2} + \frac{1}{ {x}^{2} } = 5 \\ ( {x + \frac{1}{x} })^{2} - 2 = 5 \\ ( {x + \frac{1}{x} })^{2} = 7 \\ x + \frac{1}{x} = ± \sqrt{7}$