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Prove: For all prime number a,, b, and c, a² + b² ‡ c². [Hint: a² = c² − b² = (c − b)(c + b)]

Prove: For all prime number a,, b, and c, a² + b² ‡ c². [Hint: a² = c² − b² = (c − b)(c + b)]

Advanced Engineering Mathematics
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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Prove: For all prime number a,, b, and c, a² + b² ‡ c². [Hint: a² = c² − b² = (c − b)(c + b)]
Transcribed Image Text:Prove: For all prime number a,, b, and c, a² + b² ‡ c². [Hint: a² = c² − b² = (c − b)(c + b)]
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