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: 29

Answer

The solution is $x=\left\{2.55\right\}$.

Work Step by Step

To solve the given equation graphically, perform the following steps: (1) Graph the function $y=x^3-2x^2-x-1$ using a graphing utility. Refer to the image below for the graph. (2) Identify the point/s where the graph touch/cross the x-axis. These are the points where the value of $x^3-2x^2-x-1$ is zero. The x-coordinates of these points are the solutions to the given equation. Notice that the graph crosses the x-axis at $(2.547, 0)$. This means that the solution to the given equation is approximately $2.55$. Thus, the solution is $x=\left\{2.55\right\}$.
Small 1510069769
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.