Question

If x4+1/x4=34(x>1), then find the value of x+1/x

Answer 1

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

x^2+1/x^2=√36=6

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

X+1/X=√8=2✓2

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