Let g(x) 3 +x+7. = X i) Find a solution to g(x) in Z/21Z. ii) Find a solution to g(x) in Z/3969Z which is congruent modulo 21 to the solution you found in i). To help you with this, you may use the fact that d= 43 is an inverse of 49 in Z/81Z as well as that d= 23 is an inverse of 81 in Z/49Z.

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