3.1.4 Curves of the 2-nd order

Problem: Find the type of the curve \( \Gamma x^{2}+\mathrm{H} x y-\mathrm{H} y^{2}- \) \( -4 x+\mathrm{H} y=\mathrm{H} \), where \( \Gamma=\mathrm{H}=2 \).