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here is your answer mate...
Explanation:
The roots of x2+x+1 are ω and ω2 (The two complex cube roots of unity) and ω3=1. Therefore
ω1990+ω200+1=ω+ω2+1=0
and
ω2×1990+ω2×200+1=ω2+ω+1=0
So ω and ω2 are the common roots.
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