3.5 Solving Nonlinear Systems

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Presentation transcript:

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

Essential Question How do you solve nonlinear systems of equations?

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

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

Solution outcomes for 2 parabolas No Solution One Solution Two Solutions

Steps to solve a quadratic equation by graphing Solve -(x – 1.5)2 + 2.25 = 2x(x + 1.5) Set up each side of the equation as a function y = -(x – 1.5)2 + 2.25 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