(a) Let n be any integer. Prove that n2 is congruent to 0, 1 or 4 modulo 8.
Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please prove both part.. ASAP
Transcribed Image Text:(a) Let n be any integer. Prove that n² is congruent to 0, 1 or 4 modulo 8.
(b) Prove that there exists no integer solution (x, y, z) to the equation
x² +y? + 22 = 314159265358979323846264338327.
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