Course: College Algebra
Topic: Systems and Matrices
Subtopic: Nonlinear Systems of Equations


Our focus is to extend the algebraic and graphic methods of solving linear systems to nonlinear systems. Nonlinear systems are systems of equations that include variables to powers higher than one, negative powers on variables, non-integer powers on variables, variables in the denominator, or variables in a radicand. The graphs of nonlinear equations are, of course, not straight lines! These systems of wiggly curves may have many intersection points thus many solutions to find.

As you work through this material be sure to try solving both algebraically and graphically. When solving algebraically, concentrate on when the elimination method would work or when the substitution method is the way to go.


By the end of this topic you should know and be prepared to be tested on:


Terms you should be able to define: nonlinear equation, nonlinear system of equations

rev. 2020-11-29