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

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

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

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

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

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

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

Find the complex number omega satisfying the equation z^3=8i and lying in the second quadrant on the complex plane.

Find the complex number omega satisfying the equation z^3=8i and lying in the second quadrant on the complex plane.

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

IF agt=1 , find all complex numbers z satisfying the equation z+a|z+1|+i=0