Obtain all other zeroes of `2z^4+z^3-14z^2-19z-6` if two of its zeroes are -1 and -2 .

Obtain all other zeroes of y^4+y^3-7y^2-y+6 if two of its zeroes are 1 and - 1.

Obtain all other zeroes of y^4+10y^3+35y^2+50y+24 if two of its zeroes are -1 and -3 .

Obtain the factors of z^2 – 4z – 12 .

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

Prove that : z= -bar(z) iff z is either zero or purely imaginary.

If |z|=1 and z!=1, then all the values of z/(1-z^2) lie on

Let z=9+ai, where i=sqrt(-1) and a be non-zero real. If Im(z^(2))=Im(z^(3)) , sum of the digits of a^(2) is

Let z_1=10+6i and z_2=4+6idot If z is any complex number such that the argument of ((z-z_1))/((z-z_2)) is pi/4, then prove that |z-7-9i|=3sqrt(2) .

The radius of the circle in which the sphere x^(2)=y^(2)+z^(2)+2z-2y-4z-19=0 is cut by the plane x+2y+2z+7=0 is

If z_1 + z_2 + z_3 + z_4 = 0 where b_i in R such that the sum of no two values being zero and b_1 z_1+b_2z_2 +b_3z_3 + b_4z_4 = 0 where z_1,z_2,z_3,z_4 are arbitrary complex numbers such that no three of them are collinear, prove that the four complex numbers would be concyclic if |b_1b_2||z_1-z_2|^2=|b_3b_4||z_3-z_4|^2 .