Answer
Solutions:
$x=-3+5i$
$x=-3-5i$
Work Step by Step
$x^2+6x+34=0~~$ ($a=1,b=6,c=34$):
$x=\frac{-b±\sqrt {b^2-4ac}}{2a}=\frac{-6±\sqrt {6^2-4(1)(34)}}{2(1)}=\frac{-6±\sqrt {-100}}{2}=\frac{-6±10i}{2}=-3±5i$
$x=-3+5i$ or $x=-3-5i$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 1 - Review Exercises - Page 153: 78
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