7. For all odd integers x and y, x² + 3y² = 0 (mod 8).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Give formal well-written proofs when you are proving a result or a counter example otherwise
Prove or disprove each of the following statements.
![7.
8.
9.
For all odd integers x and y, x² + 3y² = 0 (mod 8).
The equation x² + x² + 1 = 0 has no real solutions.
For all sets A and B, if A B = B, then BCA.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb8d8cfad-e835-4d24-9d1e-941fcbe41049%2F561c9558-761a-4073-83b2-de32c7aef555%2F2b5dj3_processed.png&w=3840&q=75)
Transcribed Image Text:7.
8.
9.
For all odd integers x and y, x² + 3y² = 0 (mod 8).
The equation x² + x² + 1 = 0 has no real solutions.
For all sets A and B, if A B = B, then BCA.
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