Answer
$\pm 1$
Work Step by Step
$x^{4}-2x^{2}+1=0$
$x^{4}-x^{2}-x^{2}+1=0$
$(x^{4}-x^{2})+(-x^{2}+1)=0$
$x^{2}(x^{2}-1)-1(x^{2}-1)=0$
$(x^{2}-1)(x^{2}-1)=0$
$x^{2}-1=0$
$x=\pm 1$
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