Question

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Answer (Detailed Solution Below)

Option 4 : 18 / 18

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Detailed Solution

सही उत्तर 18 / 18 है।

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Question:

If $x - \frac{1}{x} = 4$, then $x^2 + \frac{1}{x^2}$ is equal to / यदि $x - \frac{1}{x} = 4$ हो, तो $x^2 + \frac{1}{x^2}$ बराबर है

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16 / 16
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14 / 14
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20 / 20
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18 / 18

Correct Answer: 18 / 18

Squaring both sides gives $x^2 - 2 + \frac{1}{x^2} = 16$, so $x^2 + \frac{1}{x^2} = 16 + 2 = 18$. / दोनों पक्षों का वर्ग करने पर $x^2 - 2 + \frac{1}{x^2} = 16$ मिलता है, अतः $x^2 + \frac{1}{x^2} = 16 + 2 = 18$ है।

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