Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 4 - Quadratic Functions - 4.5 Solving Equations by Factoring - 4.5 Exercises - Page 358: 4


$\color{blue}{\left\{-23, 46\right\}}$

Work Step by Step

RECALL: Zero-Factor Property: If $ab = 0$, then either $a=0$ or $b=0$ or both are $0$. Use the property above to obtain: \begin{array}{ccccc} &8=0 &\text{or} &k-46=0 &\text{or} &k+23=0 \end{array} Solve each equation to obtain: $8=0$, no solution or $k-46=0 \\k=0+46 \\k=46$ or $k+23=0 \\k=0-23 \\k=-23$ Thus, the solution set is $\color{blue}{\left\{-23, 46\right\}}$.
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