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

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