If x = 5, then the value of the expression $${x^2} - 2 + \frac{1}{{{x^2}}}$$   is?

Solution (By Examveda Team)

$$\eqalign{ & {\text{According to the question,}} \cr & {\text{If }}x = 5 \cr & \therefore {x^2} - 2 + \frac{1}{{{x^2}}} \cr & = {\left( {x - \frac{1}{x}} \right)^2} \cr & = {\left( {5 - \frac{1}{5}} \right)^2} \cr & = {\left( {\frac{{24}}{5}} \right)^2} \cr & = \frac{{576}}{{25}} \cr} $$