if x+1/x=√3 then find x³+1/x³
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x + 1/ x = √ 3
(x + 1 / x)^3 = (x) ^3 + 3( x) ^2 1/x + 3 x (1/x)^2 + (1/x)^3
= x ^3 + 3 x + 3 /x + (1 / x )^3
= x ^3 +( 1/x) ^3 + 3 ( x + 1/x) = 3√3
x^3 + ( 1/ x) ^3 +3 ( x + 1 /x ) = 3√3
x^3 + 1 / x^3 + 3√3 = 3√3
x^3 + 1/ x ^3 = 0
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