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: 42

Answer

$x=\left\{ -8.69, 0.69 \right\} $

Work Step by Step

The standard form of the given equation is \begin{align*} x^2+2x+6x-6&=0\\ x^2+8x-6&=0 \end{align*} Using a graphing software, the graph of the given equation is shown below. The solutions of the equation are the $x$-values when the graph crosses the $x-$axis. Hence, based on the graph, the solutions are $ x=\left\{ -8.69, 0.69 \right\} .$
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