If x + (frac{1}{x}) = 4, find x

^{2}+ (frac{1}{x^2})-
**A.**

16 -
**B.**

14 -
**C.**

12 -
**D.**

9

##### Correct Answer: Option B

##### Explanation

x + (frac{1}{x}) = 4, find x^{2} + (frac{1}{x^2})

= (x + (frac{1}{x}))^{2} = x^{2} + (frac{1}{x^2}) + 2

x^{2} + (frac{1}{x^2}) = ( x + (frac{1}{x^2}))^{2} – 2

= (4)^{2} – 2

= 16 – 2

= 14