Algebra: A Combined Approach (4th Edition)

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

Chapter 6 - Section 6.1 - The Greatest Common Factor - Exercise Set: 87

Answer

$-1, -8$

Work Step by Step

Let $a$ and $b$ be the two numbers. $ab=8$ $a+b=-9$ $a=-9-b$ $(-9-b)b=8$ $-9b-b^2=8$ $b^2+9b+8=0$ $(b+8)(b+1)=0$ $b=-1$ or $-8$ If $b=-1$, then $a=-8$. If $b=-8$, then $a=-1$. Therefore, the two numbers are $-1$ and $-8$.
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