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: 3

Answer

$x = -1.11$ or $x = 0.91$

Work Step by Step

You are given the quadratic equation $x^2+0.5x=0.3x+1$. This equation can be simplified to give $x^2+0.2x-1=0$. Input this equation into a graphing calculator and look at where the line intercepts the x-axis specifically. In this case, the line intercepts the x-axis at $x = -1.105$ and $x= 0.905$. Round these values to the nearest hundredth or to 2 decimal places, so; $x = -1.11$ and $x= 0.91$.
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