- 9.2: 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.
- 9.3: 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.
- 9.7: Systems of Nonlinear Equations and Inequalities - Two Variables
- In this section, we will consider the intersection of a parabola and a line, a circle and a line, and a circle and an ellipse. The methods for solving systems of nonlinear equations are similar to those for linear equations.
Thumbnail: Plot of the quadratic function. (Public Domain; N.Mori).