Question
Download Solution PDFIf x + \(\frac{1}{x}\) = 9, then find x4 + \(\frac{1}{x^4}\).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
(x + 1/x) = 9
Concept used
If (a + 1/a) = k
(a2 + 1/a2) = K2 - 2
Calculation
(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
The value of the expression is 6239.
Last updated on Jul 10, 2025
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