Intermediate Algebra (6th Edition)

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

Chapter 5 - Section 5.8 - Solving Equations by Factoring and Problem Solving - Vocabulary, Readiness & Video Check - Page 322: 5


$x=\{ 0,9 \}$

Work Step by Step

By the Zero-Product Property, $ab=0$ implies $a=0 \text{ OR } b=0$. Hence, the solution to the given equation, $ x(x-9)=0 $, is \begin{array}{} x=0 ,\\\\\text{OR}\\\\ x-9=0 \\ x=0+9 \\ x=9 .\end{array} Hence, $ x=\{ 0,9 \} $.
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