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If x - frac 1 x = 5 text &nbsp then...

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

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