Algebra 2 Common Core

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

Chapter 4 - Quadratic Functions and Equations - 4-6 Complete the Square - Practice and Problem-Solving Exercises - Page 237: 19


$x=-4 \text{ and } x=-2$.

Work Step by Step

Subtract $1$ from each side: $$x^2+6x+8=0$$ Factor the trinomial: $$(x+4)(x+2)=0$$ Use the Zero-Product Property by equating each factor to zero, then solve each equation to obtain: \begin{align*} x+4&=0 &\text{or}& &x+2=0\\ x&=-4 &\text{or}& &x=-2 \end{align*} Thus, the solutions are $x=-4 \text{ and } x=-2$.
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