DISCUSS: Proof That 0 = 1? The following steps appear to give equivalent equations, which seem to prove that 1 = 0. Find the error. %3D x = 1 Given x? = x Multiply by x x? - x = 0 Subtract x x(x - 1) = 0 Factor x = 0 Divide by x-1 1 = 0 Given x= 1

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.8: Solving Basic Equations
Problem 106E
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DISCUSS: Proof That 0 = 1? The following steps appear to
give equivalent equations, which seem to prove that 1 = 0.
Find the error.
%3D
x = 1
Given
x? = x
Multiply by x
x? - x = 0
Subtract x
x(x - 1) = 0
Factor
x = 0
Divide by x-1
1 = 0
Given x= 1
Transcribed Image Text:DISCUSS: Proof That 0 = 1? The following steps appear to give equivalent equations, which seem to prove that 1 = 0. Find the error. %3D x = 1 Given x? = x Multiply by x x? - x = 0 Subtract x x(x - 1) = 0 Factor x = 0 Divide by x-1 1 = 0 Given x= 1
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