Question
Download Solution PDFఒకవేళ \(\rm \left(x+\frac{1}{x}\right)=10\) అయితే. \(\rm \left(x^4+\frac{1}{x^4}\right)\) విలువ ఎంత?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చిన:
\(\rm \left(x+\frac{1}{x}\right)=10\)
ఉపయోగించిన ఫార్ములా:
ఒకవేళ (x + 1/x) = P
అప్పుడు (x2 + 1/x2) = P2 - 2
లెక్కింపు:
⇒ (x + 1/x) = 10
⇒ (x2 + 1/x2) = 102 - 2
⇒ (x2 + 1/x2) = (100 - 2) = 98
⇒ (x4 + 1/x4) = (98)2 - 2
⇒ (x4 + 1/x4) = 9604 - 2 = 9602
∴ సరైన సమాధానం 9602 .
Last updated on Jul 17, 2025
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