College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.9 - Solving Equations and Inequalities Graphically - 1.9 Exercises: 31

Answer

$x=\left\{-2.06, 0, 1.055\right\}$.

Work Step by Step

To solve the given equation graphically, perform the following steps: (1) Graph the functions $y=x(x-1)(x+2)$ (red graph) and $y=\frac{1}{6}x$ (blue graph) using a graphing utility. Refer to the image below for the graph. (2) Identify the point/s where the graphs intersect each other. These are the points where the value of $x(x-1)(x+2)$ and $\frac{1}{6}x$ are equal. The x-coordinates of these points are the solutions to the given equation. Notice that the graphs intersect each other at $(-2.055, -0.342), (0,0),$ and $(1.055, 0.176)$. This means that the solutions to the given equation are: $-2.055, 0,$, and $1.055$. Thus, the solutions, rounded to two decimal places when needed, are: $x=\left\{-2.06, 0, 1.055\right\}$.
Small 1510070535
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.