Question

DISCUSS: Proof That 0  1? The following steps appear to
give equivalent equations, which seem to prove that 1  0.
Find the error.

(a) x = 0
(b) x =
(c) x =
106. DISCUSS: Proof That 0 = 1? The following steps appear to
give equivalent equations, which seem to prove that 1 = 0.
Find the error.
x = 1
Given
x² = x
Multiply by x
x² - x = 0
Subtract x
x(x – 1) = 0
Factor
X = 0
Divide by x – 1
1 = 0
Given x = 1

Image Transcription

(a) x = 0 (b) x = (c) x = 106. DISCUSS: Proof That 0 = 1? The following steps appear to give equivalent equations, which seem to prove that 1 = 0. Find the error. x = 1 Given x² = x Multiply by x x² - x = 0 Subtract x x(x – 1) = 0 Factor X = 0 Divide by x – 1 1 = 0 Given x = 1

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