Introduction: Quadratic Equations
An equation containing a second-degree polynomial is called a quadratic equation. For example, equations such as [latex]2{x}^{2}+3x - 1=0[/latex] and [latex]{x}^{2}-4=0[/latex] are quadratic equations. They are used in countless ways in the fields of engineering, architecture, finance, biological science, and, of course, mathematics.In this lesson you will learn how to do the following:
- Recognize a quadratic equation
- Use the zero product principle to solve quadratic equations that can be factored
- Identify solutions to quadratic equations on a graph
- Use the square root property to solve a quadratic equation
- Complete the square to solve a quadratic equation
- Write a quadratic equation in standard form and identify the values of a, b, and c in a standard form quadratic equation.
- Use the quadratic formula to find all real solutions of a quadratic equation, recognize when there are no real solutions
- Solve application problems involving quadratic equations
The learning activities for this lesson include:
- Read: Quadratic Equations
- Self-Check: Quadratic Equations
- Read: Square Roots and Completing the Square
- Self-Check: Square Roots and Completing the Square
- Read: The Quadratic Formula
- Self-Check: The Quadratic Formula
