Question : If $(x + \frac{1}{x})$ = 6, then the value of ($x^{2} + \frac{1}{x^{2}}$) is:
Option 1: 23
Option 2: 16
Option 3: 34
Option 4: 32
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Correct Answer: 34
Solution : Given: ($x + \frac{1}{x}$) = 6 So, ($x^{2} + \frac{1}{x^{2}}$) = ($x + \frac{1}{x}$) 2 — $2×x×\frac{1}{x}$ = (6) 2 – 2 = 36 – 2 = 34 Hence, the correct answer is 34.
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