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)+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 the equation z^2 +|z|=0 , where z is a complex number.

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).

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

The number of solution of the set of equations (x^(2))/a^(2)+(y^(2))/(b^(2))-(z^(2))/(c^(2))=0,(x^(2))/(a^(2))-(y^(2))/(b^(2))+(z^(2))/(c^(2))=0,-(x^(2))/(a^(2))+(y^(2))/(b^(2))+(z^(2))/(c^(2))=0 is

If complex number z(zne2) satisfies the equation z^(2)=4z+|z|^(2)+(16)/(|z|^(3)) , then what is the value of |z|^(4) ?

Solve the system of equation Re(z^(2))=0,|z|=2 .