Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 8 - Section 8.1 - Solving Quadratic Equations by Completing the Square - Graphing Calculator Explorations - Page 481: 4

Answer

$x=-1.54$ or $x=1.94$

Work Step by Step

You are given the equation $x^2-2.6x=-2.2x+3$. The equation can be simplified to $x^2-0.4x-3=0$. Input this equation into a graphic calculator, and look at where the line intercepts the x-axis specifically. In this case, the x-axis is intercepted at $x=-1.544$ and $x=1.944$. Round these values to the nearest hundredth or to $2$ decimal places, so; $x=-1.54$ or $x=1.94$.
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