Answer
$x=\pm i\sqrt {7}$
Work Step by Step
$x^{2}+7=0$
$x^{2}=-7$
$x=\pm\sqrt {-7}$
$x=\pm\sqrt {-1\times7}$
$x=\pm\sqrt {-1}\times\sqrt {7}$
$x=\pm i\times\sqrt {7}$
$x=\pm i\sqrt {7}$
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