Question

Solve
${x}^{2} + \frac{1}{ {x}^{2} } = 23 \\ find \: value \: of \:x + \frac{1}{x}$

Answer 1

Given Equation is x^2 + 1/x^2 = 23.

$x^2 + \frac{1}{x^2} + 2 = 25$

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

$(x + \frac{1}{x} ) = \sqrt{25}$

$(x + \frac{1}{x} ) = 5$


Hope this helps!