Answer
$x=\pm i\sqrt {11}$
Work Step by Step
$x^{2}+11=0$
$x^{2}=-11$
$x=\pm\sqrt {-11}$
$x=\pm\sqrt {-1\times11}$
$x=\pm\sqrt {-1}\times\sqrt {11}$
$x=\pm i\times\sqrt {11}$
$x=\pm i\sqrt {11}$
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