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

A.

16

B.

14

C.

12

D.

9

View answer & explanation

Correct answer is B

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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