Question

If x2 +1/x ^2 =27, find x-1/x​

Answer 1

$\huge\underline\bold\red{★Answer★}$

${x}^{2} + \frac{1}{ {x}^{2} } = 27 \\ ( {x - \frac{1}{x} })^{2} + 2 = 27 \\ ( {x - \frac{1}{x} })^{2} = 25 \\ x - \frac{1}{x} = ±5$