Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.4 Equations - R.4 Exercises: 9

Answer

$-2$ and $-3$

Work Step by Step

See example 2 in R-2 (factoring trinomials). We search for factors of 6 that add up to 5 .... 2$\times$3=6, 2+3=5 so $x^{2}+5x+6=0$ $(x+2)(x+3)=0$ We apply the zero product rule (if the product is zero, at least one of the factors is zero) $x=-2 \ \ $ or $\ \ x=-3$ solutions: $-2\ \ $ and $-3$
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