If `(1-i)` is a root of the equation `z^3 -2(2-i)z^2 +(4 - 5i)z-1 +3i =0`, then find the other two roots.

If (1 – i) is a root of the equation , z^3 - 2 (2 - i) z^2 + (4 - 5 i) z - 1 + 3 i = 0 , then find the other two roots.

If one root of the equation z^2-a z+a-1= 0 is (1+i), where a is a complex number then find the root.

If one root of the equation z^2-a z+a-1= 0 is (1+i), where a is a complex number then find the root.

For a complex number Z, if one root of the equation Z^(2)-aZ+a=0 is (1+i) and its other root is alpha , then the value of (a)/(alpha^(4)) is equal to

For a complex number Z, if one root of the equation Z^(2)-aZ+a=0 is (1+i) and its other root is alpha , then the value of (a)/(alpha^(4)) is equal to

If z_(i) (where i=1, 2,………………..6 ) be the roots of the equation z^(6)+z^(4)-2=0 , then Sigma_(i=1)^(6)|z_(i)|^(4) is equal to

If z_(i) (where i=1, 2,………………..6 ) be the roots of the equation z^(6)+z^(4)-2=0 , then Sigma_(i=1)^(6)|z_(i)|^(4) is equal to

Let z be a complex number satisfying the equation z^(2)-(3+i)z+m+2i=0, wherem in R Suppose the equation has a real root.Then root non-real root.

If the complex numbers z_1 , z_2, z_3 and z_4 denote the vertices of a square taken in order. If z_1 = 3+4i and z_3 = 5+ 6i , then the other two vertices z_2 and z_4 are respectively a) 5+4i, 5+6i b) 5+4i, 3+6i c) 5+6i, 3+5i d) 3+6i, 5+3i