If $$x - \frac{1}{x} = 5{\text{,}}$$   then $${x^2}{\text{ + }}\frac{1}{{{x^2}}}$$   is?

A. 5

B. 25

C. 27

D. 23

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & x - \frac{1}{x} = 5 \cr & \left[ {{\text{Squaring both sides}}} \right] \cr & \Rightarrow {x^2}{\text{ + }}\frac{1}{{{x^2}}} - 2 = 25 \cr & \Rightarrow {x^2}{\text{ + }}\frac{1}{{{x^2}}} = 27 \cr} $$