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: 45

Answer

$x=\left\{ -4,2.5 \right\}$

Work Step by Step

The standard form of the given equation is \begin{align*} 2x^2+8x-5x-20&=0\\ 2x^2+3x-20&=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\{ -4,2.5 \right\} .$
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