Determine If A Quadratic Equation Is A Circle, Parabola, Hyperbola or Ellipse (:

4x² +4y² =36

Terms A & C [4] are the same, therefore
making the equation a circle.

The Rule - "If A=C, then the equation is a Circle.

2x² + 4y=3

Equation that is missing X or Y² is a Parabola
 4x² - 4y² = 12

If A or C are different signs, the equation is a Hyperbola

4x² + 3y² = 25

If A does not equal C, and they are the same sign, then the equation is a Ellipse