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18: Quadratic Equations and Functions

Last updated

Aug 13, 2020
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- 17.10: Review Exercises
- 18.1: Prelude to Quadratic Equations and Functions

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18.1: Prelude to Quadratic Equations and Functions
18.2: Solve Quadratic Equations Using the Square Root Property
- 18.2E: Exercises
18.3: Solve Quadratic Equations by Completing the Square
So far we have solved quadratic equations by factoring and using the Square Root Property. In this section, we will solve quadratic equations by a process called completing the square, which is important for our work on conics later.
- 18.3E: Exercises
18.4: Solve Quadratic Equations Using the Quadratic Formula
When we solved quadratic equations in the last section by completing the square, we took the same steps every time. By the end of the exercise set, you may have been wondering ‘isn’t there an easier way to do this?’ The answer is ‘yes’. Mathematicians look for patterns when they do things over and over in order to make their work easier. In this section we will derive and use a formula to find the solution of a quadratic equation.
- 18.4E: Exercises
18.5: Solve Quadratic Equations in Quadratic Form
- 18.5E: Exercises
18.6: Solve Applications of Quadratic Equations
- 18.6E: Exercises
18.7: Review Exercises

Thumbnail: Plot of the quadratic function. Image used with permission (Public Domain; N.Mori).

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