Intermediate Algebra (6th Edition)

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

Chapter 8 - Review - Page 531: 14

Answer

$x=\{ -5, 0 \}$

Work Step by Step

Using $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$ or the Quadratic Formula, the solution/s of the given quadratic equation, $ x^2+5x=0 ,$ is/are \begin{array}{l}\require{cancel} x=\dfrac{-5\pm\sqrt{5^2-4(1)(0)}}{2(1)} \\\\ x=\dfrac{-5\pm\sqrt{25-0}}{2} \\\\ x=\dfrac{-5\pm\sqrt{25}}{2} \\\\ x=\dfrac{-5\pm5}{2} \\\\ x=\{ -5, 0 \} .\end{array}
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