If \(x + \frac{1}{x} = 4\), what is the value of \(x^2 + \frac{1}{x^2}\)?
A. 14
B. 12
C. 16
D. 18
A. 14
B. 12
C. 16
D. 18
Best answer
Answer: A. 14
Answer: (A) 14
Shortcut: \(x^2 + \frac{1}{x^2} = \left(x + \frac{1}{x}\right)^2 - 2 = 16 - 2 = 14\).
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