1. The problem statement, all variables and given/known data a.) Let a=3-8i and b=2+3i. Find x,y ϵ Z[i] such that ax+by=1. b.) Show explicitly that the ideal I=(85,1+13i) [itex]\subseteq[/itex] Z[i] is principle by exhibiting a generator. 2. Relevant equations Given ideal: I=(85,1+13i) [itex]\subseteq[/itex] Z[i] a=3-8i b=2+3i Honestly, I am beyond lost on this problem. Any help would be appreciated. Thanks!