Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.2 - Solving Quadratic Equations by Completing the Square - Exercise Set - Page 777: 60

Answer

20.5 inches by 27.8 inches

Work Step by Step

$x*(x+7.3)=569.9$ $x^2+7.3x=569.9$ $x^2+7.3x-569.9=0$ $x=(-b±\sqrt {b^2-4ac})/2a$ $x=(-7.3±\sqrt {7.3^2-4*1*-569.9})/2*1$ $x=(-7.3±\sqrt {7.3^2+4*569.9})/2$ $x=(-7.3±\sqrt {53.29+2279.6})/2$ $x=(-7.3±\sqrt {2332.89})/2$ $x=(-7.3±48.3)/2$ We are talking about distances and want only the positive distance. $x=(-7.3±48.3)/2$ $x=(-7.3+48.3)/2$ $x=41/2$ $x=20.5$
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