Question

if X⁴ + 1/X⁴ = 2 , find x + 1/x​

Answer 1

Answer:

2

Step-by-step explanation:

x^4+1/x^4=2

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

(x^2+1/x^2)^2-2x^2x1/x^2=2

{(X+1/X)^2-x.1/x-2}^2-2=2

{(X+1/X)^2-2}^2=4

{(X+1/X)^2-2=2

(X+1/X)^2=4

X+1/X=2

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