Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 4 - Quadratic Functions and Equations - 4-5 Quadratic Equations - Practice and Problem-Solving Exercises - Page 230: 48

Answer

$x=0$ and $x=-6$

Work Step by Step

Square the binomial to obtain: $$x^2+6x+9=9$$ Subtract $9$ from each side: $$x^2+6x=0$$ Factor the binomial: $$x(x+6)=0$$ Use the Zero-Product Property by equating each factor with a variable to zero, then solve each equation to obtain: \begin{align*} x&=0 &\text{or}& &x+6=0\\ x&=0 &\text{or}& &x=-6 \end{align*} Thus, the solutions are $x=0$ and $x=-6$.
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