If `omega` is an imaginary cube root of unity. Then the equation whose roots are `2omega +3omega^2,2omega^2+3omega`, is

If omega is an imaginary cube root of unity.Then the equation whose roots are 2 omega+3 omega^(2),2 omega^(2)+3 omega, is

If omega is an imaginary cube root of unity then the equation whose roots are 2omega + 3omega^(2) and 2omega^(2) + 3omega is

If omega is an imaginary cube root of unity then the equation whose roots are 2omega + 3omega^(2) and 2omega^(2) + 3omega is

If omega is an imaginary cube root of unity then the equation whose roots are 2 omega+3 omega^(2) and 2 omega^(2)+3 omega is

If omega is an imaginary cube root of unity then the value of [[1+omega , omega^2 , -omega],[1+omega^2 , omega , -omega^2 ],[omega^2+omega , omega , -omega^2 ]] =

If omega is an imaginary cube root of unity, then a root of equation |(x+1,omega,omega^2),(omega,x+omega^2,1),(omega^2,1,x+2)|=0,can be

If omega is an imaginary cube root of unity, then the value of (1+ omega- omega^(2))(1- omega + omega ^(2)) is-

If omega is an imaginary cube root of unity, then the value of the determinant |(1+omega,omega^(2),-omega),(1+omega^(2),omega,-omega^(2)),(omega+omega^(2),omega,-omega^(2))| is