Let `z` be a complex number satisfying the equation `z^2-(3+i)z+m+2i=0,w h e r em in Rdot` Suppose the equation has a real root. Then root non-real root.

Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then find the value of |z|dot

Find the non-zero complex numbers z satisfying z =i z^2dot

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

Prove that the equation Z^3+i Z-1=0 has no real roots.

The number of real root of the equation e^(x-1)+x-2=0 , is

A complex number z satisfies the equation |Z^(2)-9|+|Z^(2)|=41 , then the true statements among the following are

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

The number of real roots of the equation |x|^(2)-3|x|+2=0 is

Let z be a complex number satisfying equation z^p=z^(-q),w h e r ep ,q in N ,t h e n (A) if p=q , then number of solutions of equation will be infinite. (B) if p=q , then number of solutions of equation will be finite. (C) if p!=q , then number of solutions of equation will be p+q+1. (D) if p!=q , then number of solutions of equation will be p+qdot

If one root of the equation z^2-a z+a-1=0i s(1+i),w h e r ea is a complex number then find the root.