Question

if x^2+1/x^2=27 find the value of x+1/x​

Answer 1

${x}^{2} + \frac{1}{ {x}^{2} } = 27 \\ ( {x + \frac{1}{x} })^{2} - 2 = 27 \\ ( {x + \frac{1}{x} })^{2} = 29 \\ x + \frac{1}{x} = \sqrt{29}$