Answer
$$6-2\sqrt{5}$$
Work Step by Step
Plugging in $1-\sqrt{5}$ for $x$, we find:
$$ \left(1-\sqrt{5}\right)^2\\ 1^2-2\cdot \:1\cdot \sqrt{5}+\left(\sqrt{5}\right)^2\\ 6-2\sqrt{5}$$
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