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b. Let x, y,p E Z, where p is prime. Prove that x2 - p²y - p + 0. (Hint: you may use without proof that for any a E Z: pla? = pla.)

b. Let x, y,p E Z, where p is prime. Prove that x2 - p²y - p + 0. (Hint: you may use without proof that for any a E Z: pla? = pla.)

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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Let x, y, p E Z, where p is prime. Prove that x^2 - p^2y - p != 0.

b. Let x, y, p E Z, where p is prime. Prove that x2 - p²y – p # 0. (Hint: you may use without proof that for any a E Z: p|a² = pla.)
Transcribed Image Text:b. Let x, y, p E Z, where p is prime. Prove that x2 - p²y – p # 0. (Hint: you may use without proof that for any a E Z: p|a² = pla.)
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