Answer with explanation please. Thanks
Let ω be a nonreal root of z3=1. Find the number of ordered pairs (a,b) of integers such that |aω+b|=1.
There are four pairs that work: (1,0), (-1,0), (0,1), (0,-1).
They are the only ones I can think of too.
I got down to
a2+b2−ab=1
Not sure how to determine if those are the only 4 answers.
The following also work:
a=2√3,b=1√3a=−2√3,b=−1√3
How did you come up with those Alan?
Is there some technique you can show us?
+140 
