Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.3 - Solving Equations by Using Quadratic Methods - Exercise Set - Page 790: 74

Answer

$-i, i, 3$

Work Step by Step

$x^3+x-3x^2-3=0$ $x(x^2+1)-3(x^2+1)=0$ $(x^2+1)(x-3)=0$ $x-3=0$ $x=3$ $x^2+1=0$ $x^2=-1$ $\sqrt {x^2}=\sqrt {-1}$ $x=±i$
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