Definition:Quadratic Equation in Two Variables
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Definition
A quadratic equation in $2$ variables is an equation of the form:
- $a x^2 + b y^2 + 2 h x y + 2 g x + 2 f y + c = 0$
where $x$ and $y$ are independent variables.
Also known as
A quadratic equation is also known as:
- an equation of the second degree
- a polynomial of degree $2$
and so on.
Also see
- Results about quadratic equations can be found here.
Sources
- 1933: D.M.Y. Sommerville: Analytical Conics (3rd ed.) ... (previous) ... (next): Chapter $\text {II}$. The Straight Line: $14$. Condition that the general quadratic equation of the second degree should represent two straight lines