Question
Download Solution PDFयदि \(k + \frac{1}{k} = 4\) है तो, \({k^4} + \frac{1}{{{k^4}}}\) का मान क्या है?
- 410
- 192
- 212
- 194
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
\(k + \frac{1}{k} = 4\)
प्रयुक्त सूत्र:
a2 + b2 = (a + b)2 - 2ab
गणना:
x2 + \(\frac{1}{x^2}\) = (x + \(\frac{1}{x}\))2 - 2
⇒ (4)2 - 2
⇒ 14
अब,
x4 + \(\frac{1}{x^4}\) = (x2 + \(\frac{1}{x^2}\))2 - 2
⇒ (14)2 - 2
⇒ 196 - 2
⇒ 194
अत: सही उत्तर '194' है।
Last updated on Jul 16, 2025
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