Question

If x^ 4+1/x4 =4,then x- 1/x?

Answer 1

Answer:

√(√6 -2)

Step-by-step explanation:

x^4 + 1/x^4 = 4

x^4 + 1/x^4 + 2 = 4 + 2

(x^2 + 1/x^2)^2 = 6

x^2 + 1/x^2 = √6

x^2 + 1/x^2 - 2 = √6 -2

(x - 1/x)^2 = √6 - 2

x - 1/x = √(√6 - 2 )

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