The minimum value of |a+bw+cw^2|, where a,b and c are all not equal integers and w not equal to 1is

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MINIMUM value of | a+bw+cw^2| when a b c are distinct integers and w is cube root of unity not1 MINIMUM value of | a+bw+cw^2| when a b c are distinct integers and w is cube root of unity not1
If a, b, c are integers not all equal and w=√(1),(w ≠ 1) then the minimum value of |a+b w+c w^2| ... If a, b, c are integers not all equal and w=√(1),(w ≠ 1) then the minimum value of |a+b w+c w^2| ...
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