Solve the equation `(x-1)^3+8=0` in the set C of all complex numbers.

Solve the equation z^(2)+|Z|=0 where z is a complex quantity.

Number of solutions of the equation z^3+[3(barz)^2]/|z|=0 where z is a complex number is

The roots z_1,z_2,z_3 of the equation x^3+3ax^2+3bx+c=0 in which a,b,c are complex number correspond to the points A,B,C on the gaussian pllane. Find the centroid of the triangle ABC and show that it will equilateral if a^2=b

Consider the equation 10 z^2-3i z-k=0,w h e r ez is a following complex variable and i^2=-1. Which of the following statements ils true? (a)For real complex numbers k , both roots are purely imaginary. (b)For all complex numbers k , neither both roots is real. (c)For all purely imaginary numbers k , both roots are real and irrational. (d)For real negative numbers k , both roots are purely imaginary.

An operation ** on the set of all complex numbers CC is defined by z_(1)**z_(2)=sqrt(z_(1)z_(2)) for all z_(1),z_(2)inCC . Is ** a binary operation on CC ?

Show that the roots of the equation 9x^2-24x+25=0 are complex numbers, solving the equation show that the complex roots are conjugate complex numbers.

The modulus of fthe complex number (1+sqrt-8) is

Solve the equation (x+2)(x+3)(x+8)(x+12)= 4x^2

Solve the equations : (x-2)(x-3)-(a+1)/(a^(2))=0