Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.7 - Equations - Exercise Set - Page 107: 135

Answer

$-1+\displaystyle \frac{\sqrt{22}}{2}$ and $-1-\displaystyle \frac{\sqrt{22}}{2}$ are to be excluded from the domain

Work Step by Step

Excluded from the domain are all values of x that yield 0 in the denominator. These values are solutions of $2x^{2}+4x-9=0 \; $... apply the quadratic formula $ x=\displaystyle \frac{-b\pm\sqrt{b^{2}-4ac}}{2a}=\frac{-4\pm\sqrt{4^{2}-4(2)(-9)}}{2a}$ $=\displaystyle \frac{-4\pm\sqrt{88}}{4}=\frac{-4\pm 2\sqrt{22}}{4}$ $=\displaystyle \frac{2(-2\pm\sqrt{22})}{4}=\frac{-2\pm\sqrt{22}}{2}$ $-1+\displaystyle \frac{\sqrt{22}}{2}$ and $-1-\displaystyle \frac{\sqrt{22}}{2}$ are to be excluded from the domain
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