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: 25



Work Step by Step

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