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## Homework Statement

a.) Let a=3-8

*i*and b=2+3

*i*. Find x,y ϵ Z[

*i*] such that ax+by=1.

b.) Show explicitly that the ideal I=(85,1+13

*i*) [itex]\subseteq[/itex] Z[

*i*] is principle by exhibiting a generator.

## Homework Equations

Given ideal: I=(85,1+13

*i*) [itex]\subseteq[/itex] Z[

*i*]

a=3-8

*i*

b=2+3

*i*

Honestly, I am beyond lost on this problem. Any help would be appreciated. Thanks!