Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 0 - Section 0.5 - Solving Polynomial Equations - Exercises - Page 30: 27

Answer

$\pm 1, \pm 3$

Work Step by Step

$x^{4}-10x^{2}+9=0$ $x^{4}-9x^{2}-x^{2}+9=0$ $(x^{4}-9x^{2})+(-x^{2}+9)=0$ $x^{2}(x^{2}-9)-1(x^{2}-9)=0$ $(x^{2}-1)(x^{2}-9)=0$ $x^{2}-1=0$ $ , $ $x^{2}-9=0$ $x=\pm 1$ $ , $ $x=\pm 3$
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