Question

x^2-1/x^2=14 find x^2+1/x^2​

Answer 1

Answer:

$\frac{ {x}^{2} + 1}{ {x}^{2} } = 14 \\ or 1 + \frac{1}{ {x}^{2} } = 14 \\or \frac{1}{ {x}^{2} } = 13 \\ or \frac{1}{13} = {x}^{2} \\ or \: x = \frac{1}{ \sqrt{13} }$

After that, substitute value of x with second expression

$({ \frac{1}{ \sqrt{13} }) }^{2} + \frac{1}{( \frac{1}{ \sqrt{13} } )} \\ = \: \frac{1}{13} + \frac{1}{ \frac{1}{13} } \\ = \frac{1}{13} + \frac{1}{13} \\ = \frac{2}{13}$