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1. Verify that if a is odd a > 2, then (a, ²¹ a²+¹) is a Pythagorean triple. (10 points) 2 2. By inspection, find all solutions modulo 8 of x² = 1(mod8) and all solutions modulo 5 of x² = 1(mod5), then find all solutions modulo 40 of x² = 1(mod40). (10 points) ***End of Seat Work 2***