Question

Find the value of x²+1/x² and x⁴+1/x⁴ if x+1/x=5
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Answer 1

Answer:

x + 1/x = 5^(1/2)

(x + 1/x)^2 = 5

x^2 + 1/(x^2) + 2 = 5

x^2 + 1/(x^2) = 3

{ x^2 + 1/(x^2) }^2 = 9

x^4 + 1/(x^4) + 2 = 9

x^4 + 1/(x^4) = 7

Step-by-step explanation:

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