In elementary algebra, a **Quadratic Equation** is any equation having the form

$ ax^2+bx+c=0 $

In a Quadratic Equation, a,b and c are known without a=0. If a=0, the equation is linear not Quadratic. In a Quadratic Equation, you must solve for x, the unknown variable. a, b and c are coefficients in the equation.

A Quadratic Equation only contains one unknown variable that needs to be solved for. Therefore, a Quadratic Equation is a Second Degree Polynomial Equation since the greatest power is 2 and exponents must have non-negative integers.

Quadratic Equations can be solved by factorization, completing the square, using the Quadratic Formula, or graphing.

## Application of Quadratic Equations Edit

The golden ratio is found as the solution of the Quadratic Equation $ x^2-x-1=0 $. The equationof the circle-parabolas, and hyperbolas, are considered Quadratic Equations.