Answer
$-i, i, 3$
Work Step by Step
$x^3+x-3x^2-3=0$
$x(x^2+1)-3(x^2+1)=0$
$(x^2+1)(x-3)=0$
$x-3=0$
$x=3$
$x^2+1=0$
$x^2=-1$
$\sqrt {x^2}=\sqrt {-1}$
$x=±i$
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