# 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