Question
Download Solution PDFयदि \({\rm x} + \frac{1}{{\rm x}} = 2\), तब \({{\rm x}^{57}} + \frac{1}{{{{\rm x}^{57}}}}\) का मान है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
\({\rm x} + \frac{1}{{\rm x}} = 2\),
⇒x² + 1 = 2x
⇒x² - 2x + 1 = 0
⇒(x - 1)² = 0
⇒x = 1
इसीलिए, \({{\rm x}^{57}} + \frac{1}{{{{\rm x}^{57}}}}\)
= (1)⁵⁷ + 1/(1)⁵⁷
= 1 + 1 = 2
इसीलिए, अभीष्ट मान 2 है।
Last updated on Jul 21, 2025
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