If $${x^2} + \frac{1}{{{x^2}}} = 38,$$ then what is the value of $$\left( {x - \frac{1}{x}} \right)?$$
A. 9
B. 5
C. 6
D. 4
Answer: Option C
Solution (By Examveda Team)
$$\eqalign{ & {x^2} + \frac{1}{{{x^2}}} = 38 \cr & {x^2} + \frac{1}{{{x^2}}} - 2 = 38 - 2 \cr & {\left( {x - \frac{1}{x}} \right)^2} = 36 \cr & x - \frac{1}{x} = 6 \cr} $$This Question Belongs to Arithmetic Ability >> Algebra
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