Use the Discriminant $B^{2}-4 A C$ To Determine If $3 x^{2}-12 x y+4 y^{2}+x-5 y-4=0$

question 29

Short Answer

Use the discriminant $B^{2}-4 A C$ to determine if $3 x^{2}-12 x y+4 y^{2}+x-5 y-4=0$ is an ellipse, a parabola, or a hyperbola.

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Definitions:

Metamorphic Minerals

Minerals formed through the process of metamorphism, which involves the alteration of mineralogical composition of pre-existing rocks under conditions of high temperature and pressure.

Garnet

A fairly common silicate mineral with a distinctive shape but nearly any color (red is most common).

Chlorite

Chlorite refers to a group of minerals that often occurs as green flakes in metamorphic rocks and is characterized by its sheet silicate structure.

Thrust Fault

A type of geological fault where one rock stratum is pushed up and over another because of compressional forces, often associated with mountain building.