Question
Download Solution PDFఒకవేళ X + \(\frac{1}{x}\) = 9 అయితే, అప్పుడు X 4 + \(\frac{1}{x^4}\) కనుగొనండి?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినది
(x + 1/x) = 9
ఉపయోగించబడిన భావన
ఒకవేళ (a + 1/a) = k
(a2 + 1/a2) = K2 - 2
గణన
(a2 + 1/a2) = K2 - 2
⇒ (x2 + 1/x2) = 92 - 2
⇒ (x2 + 1/x2) = 79
⇒ (x4 + 1/x4) = 792 - 2
⇒ (x4 + 1/x4) = 6241 - 2
⇒ 6239
వ్యక్తీకరణ విలువ 6239.
Last updated on Jul 12, 2025
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