Question #N34
If \(x + \frac{1}{x} = 3\), what is the value of \(x^2 + \frac{1}{x^2}\)?
A. 7
B. 9
C. 11
D. 13
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Correct Answer is: A
Squaring both sides of the equation \(x + \frac{1}{x} = 3\) gives \(x^2 + 2 + \frac{1}{x^2} = 9\). Subtracting 2 from both sides gives \(x^2 + \frac{1}{x^2} = 7\).