Answer
$x=3\pm 2\sqrt{5}$
Work Step by Step
We complete the square:
$x^{2}-6x-11=0$
$x^{2}-6x=11$
$x^{2}-6x+9=11+9$
$(x-3)^{2}=20$
$x-3=\pm\sqrt{20}=\pm 2\sqrt{5}$
$x=3\pm 2\sqrt{5}$
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