(a) Prove that if a is an integer such that a 1 (mod 5), then a2 1 (mod 5).(b) Given

Chapter 4, Problem 4.17

(choose chapter or problem)

(a) Prove that if a is an integer such that a 1 (mod 5), then a2 1 (mod 5).(b) Given that b is an integer such that b 1 (mod 5), what can we conclude from (a)?

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