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: 28

Answer

$\pm 1$

Work Step by Step

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