Answer
x = 1
x= -1
Work Step by Step
$x^{6}$ + 1 = $x^{4}$ + $x^{2}$
$x^{6}$ - $x^{4}$ = $x^{2}$ - 1
$x^{4}$($x^{2}$ -1) = $x^{2}$ - 1
$x^{4}$ = 1
Thus, x is either 1 or -1
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