Module 2: Lesson 3
Are You Ready?
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There are two methods that could be used to solve the equation.
Method 1: Use a Single Function
Rearrange the equation so that the equation equals zero.
Graph the function y = 2x2 − 4x − 6 and determine the x-intercepts of the graph. These are also considered the zeros of the function.
You can use a graphing calculator to determine the x-intercepts of the graph. If you are unsure of this process, consult your calculator manual or your teacher.
The x-intercepts are −1 and 3. The solutions to the equation are x = −1 and x = 3.
Method 2: Use a System of Two Functions
Write each side of the equation as a function.
y = 2x2 − 4x and y = 6
Graph each function and determine the x-coordinates of the points of intersection between the two functions.
You can use a graphing calculator to determine the points of intersection. If you are unsure of this process, consult your calculator manual or your teacher.
The x-values of the intersection points are −1 and 3. The solutions to the equation are x = −1 and x = 3.
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