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 - Page 158: 29


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 $x=\left\{2.55\right\}$.
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