![](http://../wp-content/uploads/2017/04/Solving-Quadratic-Equations-with-the-Quadratic-Formula-1.jpg)
![](https://i0.wp.com/via.placeholder.com/718x90.png?w=1170&ssl=1)
![](https://i0.wp.com/via.placeholder.com/708x90.png?w=1170&ssl=1)
Solving Quadratic Equations with the Quadratic Formula
The solutions of some quadratic equations, ax2 + bx + c = 0 (a≠0) are not rational, and cannot be obtained by factoring. For such equations, the most common method of solution is the quadratic formula.
Note: The quadratic formula can be used to solve ANY quadratic equation, even those that can be factored. Be sure you know this very useful formula!!!
Examples:
Deriving the Quadratic Formula:
![](https://i0.wp.com/via.placeholder.com/728x90.png?w=1170&ssl=1)
The quadratic formula is derived from the quadratic equation by a process called “completing the square”. Here is how it was developed:
![](https://i0.wp.com/via.placeholder.com/728x90.png?w=1170&ssl=1)