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 360: 43


$\left\{-5, 5\right\}$

Work Step by Step

Write the equation in the form $ax^2+bx+c=0$ to obtain: \begin{align*} x^2+7x-9-7x-16&=0\\ x^2-25&=0\\ (x-5)(x+5)&=0\end{align*} Use the Zero-Product Property by equating each factor to zero, then solving each equation to obtain: \begin{align*} x-5&=0 &\text{or}& &x+5=0\\ x&=5 &\text{or}& &x=-5\\ \end{align*}
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