Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 8 - Section 8.2 - The Quadratic Formula - Exercise Set - Page 610: 91

Answer

$x=-2$ or $x=-4$

Work Step by Step

$x^2 + 6x + 8 = 0$ The equation is already in the form $ax^2 + bx + c = 0$. $a=1$, $b=6$, $c=8$. Plug these values in the quadratic formula: $x = \frac{-b±\sqrt{b^2-4ac}}{2a}$ $x = \frac{-6±\sqrt{6^2-(4⋅1⋅8)}}{2⋅1}$ $x = \frac{-6±\sqrt{36-32}}{2}$ $x = \frac{-6±\sqrt{4}}{2}$ $x = \frac{-6±2}{2}$ $x = \frac{-6+2}{2}$ or $x = \frac{-6-2}{2}$ $x=-2$ or $x=-4$
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