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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Answer (1)
22nd Jan, 2024
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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