Number of solutions of the equation `z^(2)+|z|^(2)=0`, where `z in C`, is

The number of solutions of the equation z^2+ bar z=0 is :

The number of solutions of the equation z^(2) + barz =0 is .

The equation z^(2)-i|z-1|^(2)=0, where i=sqrt(-1), has.

The solution of the equation |z|-z=1+2i is :

Solve that equation z^2+|z|=0 , where z is a complex number.

Solve the equation |z|+z=2+i, where z = x + iy.

For every real number c ge 0, find all complex numbers z which satisfy the equation abs(z)^(2)-2iz+2c(1+i)=0 , where i=sqrt(-1) and passing through (-1,4).

Find the all complex numbers satisying the equation 2|z|^(2)+z^(2)-5+isqrt(3)=0, wherei=sqrt(-1).

z_(1) and z_(2) are the roots of the equation z^(2) -az + b=0 where |z_(1)|=|z_(2)|=1 and a,b are nonzero complex numbers, then

Find the number of integral solutions of equation x+y+z+t=29, when x >= 1, y >= 2, z>=3 and t >= 0