Answer
1
Work Step by Step
$x=2-\frac{1}{x}$
$x-2=-\frac{1}{x}$
$x(x-2)=-1$
$x^{2}-2x+1=0$
$x^{2}-x-x+1=0$
$(x^{2}-x)+(-x+1)=0$
$x(x-1)-1(x-1)=0$
$(x-1)(x-1)=0$
$x-1=0$
$x=1$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
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
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