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3. Prove by contradiction, that if x and y are odd integers, then there is no integers z such that x² + y² = z². (Hint: If x and y are odd, then z is even.) 3

3. Prove by contradiction, that if x and y are odd integers, then there is no integers z such that x² + y² = z². (Hint: If x and y are odd, then z is even.) 3

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 22E: Prove that if and are integers such that and , then .
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3. Prove by contradiction, that if x and y are odd integers, then there is no integers z such that x² + y² = z². (Hint: If x and y are odd, then z is even.) 3
Transcribed Image Text:3. Prove by contradiction, that if x and y are odd integers, then there is no integers z such that x² + y² = z². (Hint: If x and y are odd, then z is even.) 3
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