Question
Download Solution PDFयदि \((x+\frac{1}{x})\) = 5 है, और x > 1 है, तब \((x^8-\frac{1}{x^8} )\) का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
\((x+\frac{1}{x})\) = 5 और x > 1
गणना:
\((x+\frac{1}{x})\) = 5
इसलिए x2 + 1/x2 = 25 - 2
⇒ 23
पुनः,
x - 1/x = √21
x2 - 1/x2 =5√21
⇒ x4 + 1/x4 = 529 - 2
⇒ 527
x4 - 1/x4 =115√21
x8 - 1/x8 =( x4 + 1/x4 ) ×(x4 - 1/x4 )
⇒ 115√21 × 527
= 60605√21
∴ सही विकल्प 1 है।
Last updated on Jul 7, 2025
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