Find the complex number `z` satisfying `R e(z^2 =0),|z|=sqrt(3.)`

Find the non-zero complex numbers z satisfying z=iz^(2)

Find all complex number z satisfying bar(z)+1=iz^(2)+|z|^(2)

Among the complex numbers z satisfying the condition |z+3-sqrt(3)i|=sqrt(3), find the number having the least positive argument

Find the complex number z satisfying the equations |(z-12)/(z-8i)|=(5)/(3),|(z-4)/(z-8)|=1

Find the complex number z such that z^(2)+|z|=0

The complex number z satisfying the equation |z-i|=|z+1|=1

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0

Find number of all complex numbers z satisfying bar(z) =iz^2

Find all complex numbers satisfying |z|^2+z^2-5+isqrt3 = 0.