College Algebra 7th Edition

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

Chapter 1, Equations and Graphs - Chapter 1 Review - Exercises: 103

Answer

$x=\left\{-2.724, -1.15, 1, 2.874\leq\right\}$ Refer to the image below for the graph
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Work Step by Step

To solve the given equation graphically, perform the following steps: (1) Let each side of the equation represent a function then graph each function on the same coordinate plane. Graph $y=x^4-9x^2$ (the blue graph) and $y=x-9$ (the red graph). (refer to the attached image in the answer part above for the graph) (2) Identify the point/s where the two graphs intersect. The x-coordinate of point of intersection is a solution of the given equation. The graphs intersect at $(-2.724,-11.724)$, $(-1.15,-10.15)$, $(1, -8)$, and $(2.874,-6.126)$. Therefore, the solutions to the given equation are: $x=\left\{-2.724, -1.15, 1, 2.874\leq\right\}$
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