Answer
$x=-2 \pm\sqrt 5$
Work Step by Step
We are given
$x^2+4x=1$
$x^2+4x-1=0$
$x=\frac{-4 \pm \sqrt 4^2-4.1.(-1)}{2.1}$
$x=\frac{-4 \pm 2\sqrt 5}{2}$
$x=-2 \pm\sqrt 5$
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