If x + 1 x = 4 x + \frac{1}{x} = 4 x + x 1 ​ = 4 , find the value of x 2 + 1 x 2 x^2 + \frac{1}{x^2} x 2 + x 2 1 ​ .

Question

If x+1x=4x + \frac{1}{x} = 4, find the value of x2+1x2x^2 + \frac{1}{x^2}.

Options

A.

$14$

B.

$5$

C.

$7$

D.

$15$

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