if x-1/x=5 find x4+1/x4
Answers
Answered by
2
Step-by-step explanation:
X+1/x = 5
(x+1/x)² = x²+1/x²+2
(5)² = x²+1/x²+2
25-2 = x²+1/x² => 23
(x²+1/x²)² = x⁴+1/x⁴+2
(23)² = x⁴+1/x⁴+2
529-2 = x⁴+1/x⁴
527 = x⁴+1/x⁴
hope this helps
Answered by
3
Answer:
727
Step-by-step explanation:
x - 1/x = 5
=> (x - 1/x)^2 = 5^2
=> x^2 + 1/x^2 - 2 = 25
=> x^2 + 1/x^2 = 27
=> (x^2 + 1/x^2)^2 = 27^2
=> x^4 + 1/x^4 + 2 = 729
=> x^4 + 1/x^4 = 727
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