Answer
$n = ±8$
Work Step by Step
$n^{2} - 56 = 8$
$n^{2} - 56 - 8 = 0$
$n^{2} - 64 = 0$
$n^{2} = 64$
$n = ±\sqrt {64}$
$n = ±8$
Check:
$(-8)^{2} - 56 \overset{?}{=} 8$
$64 - 56 \overset{?}{=} 8$
$8 = 8$
$(8)^{2} - 56 \overset{?}{=} 8$
$64 - 56 \overset{?}{=} 8$
$8 = 8$