Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 1 - Review Exercises - Page 153: 78


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 $x=-3-5i$
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