Question

X+1/X=√3 find value of X^3+1/X^3

Answer 1

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Answer 2

x^2+1/x^2=1

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

(x+1/x)^2=3

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

(x^3+1/x^3)=(x+1/x)^3 - 3.(x+1/x).

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

x^3+1/x^3= 0