3.1.29 Curves of the 2nd order
condition: Reduce to canonical form: \[ 7 x^{2}+16 x y-23 y^{2}-14 x-16 y-218=0 \text {. } \]
Study of curves of the second order and their characteristics. Ellipse, hyperbola, parabola. Finding eccentricities, foci, focal radii, major and minor axes, including imaginary, canonical equations and plotting.