If x + (frac{1}{x}) = 4, find x2 + (frac{1}{x^2})

If x + (frac{1}{x}) = 4, find x² + (frac{1}{x^2})

Correct Answer: Option B

Explanation

x + (frac{1}{x}) = 4, find x² + (frac{1}{x^2})
= (x + (frac{1}{x}))² = x² + (frac{1}{x^2}) + 2
x² + (frac{1}{x^2}) = ( x + (frac{1}{x^2}))² – 2
= (4)² – 2
= 16 – 2
= 14