Answer
$x=4$ or $x=-2$
Work Step by Step
We are given:
$11=x^{2}-2x+3$
We solve by factoring:
$x^{2}-2x-8=0$
$(x-4)(x+2)=0$
$x-4=0$ or $x+2=0$
$x=4$ or $x=-2$
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