If x-1/x= 5, find the value of x4+1/x4
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Answer:
Step-by-step explanation:
Given that
( x - 1/x ) = 5
x² + 1/x² = ( x - 1/x )² - 2
= ( 5 )² - 2
= 25 - 2
= 23.
x⁴ + 1/x⁴ = (x²)² + (1/x²)²
= (x² + 1/x² )²- 2
= ( 23 ) - 2
= 21 is the answer.
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