\( rac{-\sqrt5+1}{-\sqrt5-1} = rac{\sqrt5-1}{\sqrt5+1} = rac{(\sqrt5-1)^2}5 - 1 = rac{6 - 2\sqrt5}4 \), but we earlier derived it correctly as \( rac{3 - \sqrt5}2 \), so it checks. - Dyverse