1. 3.5 Solving Nonlinear Systems
Goals:
Solve nonlinear systems by graphing
Solve quadratic equations by graphing

2. Essential Question
How do you solve nonlinear systems of equations?

3. Solutions for nonlinear systems
In a nonlinear system of equations, at least one of the equations is nonlinear.
Solutions for the system will be the points of intersection of the function graphs

4. Solution outcomes for a parabola and a line
No Solution One Solution Two Solutions

5. Solution outcomes for 2 parabolas
No Solution One Solution Two Solutions

6. Steps to solve a quadratic equation by graphing
Solve -(x – 1.5) = 2x(x + 1.5)
Set up each side of the equation as a function
y = -(x – 1.5) and y = 2x(x + 1.5)
Graph the 2 functions
Identify the intersection point(s).
(0, 0)
Use the x value(s) of the intersection point(s) for the solution(s).
x = 0