If a,b,c are integers, not all simultaneously equal and w is cube root of unity (`w != 1)`, then minimum value of ` |a + bw + c w^2|`

If a,b,c are integers,not all simultaneously equal and w is cube root of unity (w!=1), then minimum value of |a+bw+cw^(2)|

a,b,c are integers,not all simultaneously equal,and omega is cube root of unity (omega!=1) then minimum value of |a+b omega+c omega^(2)| is 0 b.1 c.(sqrt(3))/(2) d.(1)/(2)

If a , b , c are integers not all equal and w is a cube root of unity (w ne 1) then find the minimum value of |a + b w + c w^(2)|

a ,b , c are integers, not all simultaneously equal, and omega is cube root of unity (omega!=1) , then minimum value of |a+bomega+comega^2| is 0 b. 1 c. (sqrt(3))/2 d. 1/2

a ,b , c are integers, not all simultaneously equal, and omega is cube root of unity (omega!=1) , then minimum value of |a+bomega+comega^2| is 0 b. 1 c. (sqrt(3))/2 d. 1/2

a ,b , c are integers, not all simultaneously equal, and omega is cube root of unity (omega!=1) , then minimum value of |a+bomega+comega^2| is 0 b. 1 c. (sqrt(3))/2 d. 1/2

If a,b,c are integers not all equal and omega is a cube root of unity (omega ne 1) , then the minimum value of |a+bomega+comega^(2)| is

If a, b, c are integers, no two of them being equal and omega is complex cube root of unity, then minimum value of |a+b omega| + c omega^(2)| is