Question
Download Solution PDFIf \(\rm \left(x+\frac{1}{x}\right)=10\). what is the value of \(\rm \left(x^4+\frac{1}{x^4}\right)\)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
\(\rm \left(x+\frac{1}{x}\right)=10\)
Formula used:
If (x + 1/x) = P
then (x2 + 1/x2) = P2 - 2
Calculation:
⇒ (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
∴ The correct answer is 9602.
Last updated on Jul 15, 2025
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