College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.5 - Page 161: 74

Answer

$x=1-4i,1+4i$

Work Step by Step

Plug the values $a$, $b$, and $c$ into the quadratic formula and simplify all the values. $x^2-2x+17=0$ $a=1,b=-2,c=17$ $x=\frac{-b±\sqrt {b^2-4ac}}{2a}$ $x=\frac{-(-2)±\sqrt {(-2)^2-4(1)(17)}}{2(1)}$ $x=\frac{2±\sqrt {4-68}}{2}$ $x=\frac{2±\sqrt {-64}}{2}$ $x=\frac{2±8i}{2}$ $x=1±4i$ $x=1-4i,1+4i$
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