#### Answer

$x=3\pm 2\sqrt{5}$

#### Work Step by Step

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

Published by
Brooks Cole

ISBN 10:
1305115546

ISBN 13:
978-1-30511-554-5

$x=3\pm 2\sqrt{5}$

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