A quadratic equation is defined as any equation that can be rewritten as $a{x}^2+bx+c=0,$ where a, b, and c are constants and $a\ne 0.$
In this chapter we are going to look into various methods to solve quadratic equations. These methods include using square roots, factoring, completing the square, graphing, and to use the Quadratic Formula.
Square roots are commonly used for solving quadratic equations that can be written on the form $a{x}^2+c=0.$ The methods using factoring and completing the square can be used to solve quadratic equations that are slightly more complicated. For quadratic equations where methods using factoring or completing the square become too time consuming to use the the preferred methods are to solve by graphing or to use the Quadratic Formula.
The Quadratic Formula, which is a formula mainly used to find solutions to quadratic equations, is derived by completing the square.
Linear-Quadratic Systems are in this chapter solved using graphical methods to find the points of intersections or algebraically using either the Substitution Method or the Elimination Method.
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Subchapters:

• Solving Quadratic Equations with Square Roots
• Factoring Quadratics
• Completing the Square
• Solving Quadratic Equations using the Quadratic Formula
• Solving Linear-Quadratic Systems