Question
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Answer (Detailed Solution Below)
Option 4 : 119
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Detailed Solution
सही उत्तर 119 है।
Key Points
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prepsnap.in • Part -AQuestion:
If $x - \frac{1}{x} = 3$, then the value of $x^4 + \frac{1}{x^4}$ is / यदि $x - \frac{1}{x} = 3$ हो, तो $x^4 + \frac{1}{x^4}$ का मान है
1.
79
2.
81
3.
123
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119
Correct Answer: 119
Squaring once, $x^2 + \frac{1}{x^2} = 3^2 + 2 = 11$; squaring again, $x^4 + \frac{1}{x^4} = 11^2 - 2 = 119$. / एक बार वर्ग करने पर, $x^2 + \frac{1}{x^2} = 3^2 + 2 = 11$; पुनः वर्ग करने पर, $x^4 + \frac{1}{x^4} = 11^2 - 2 = 119$।
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