The roots of the equation `1+z+z^3+z^4=0` are represented by the vertices of

The roots of the cubic equation (z+ab)^3=a^3,a !=0 represents the vertices of an equilateral triangle of sides of length

The roots of the cubic equation (z+ab)^(3)=a^(3),a!=0 represents the vertices of an equilateral triangle of sides of length

If z_(1),z_(2),z_(3),z_(4) are the roots of the equation z^(4)+z^(3)+z^(2)+z+1=0, then the least value of [|z_(1)+z_(2)|]+1 is (where [.] is GIF.)

let z_1,z_2,z_3 and z_4 be the roots of the equation z^4 + z^3 +2=0 , then the value of prod_(r=1)^(4) (2z_r+1) is equal to :

let z_1,z_2,z_3 and z_4 be the roots of the equation z^4 + z^3 +2=0 , then the value of prod_(r=1)^(4) (2z_r+1) is equal to :

The equation 3y+4z=0 represents a

The equation 3y+4z=0 represents a

Find all the roots of the equation : (3z -1)^4+(z-2)^4 =0 in the simplified form of a + ib.