Question 1403a

Complex Numbers

Conjugate Root Theorem

Question

It is given that

{z_1 = 2 + 4 \mathrm{i}}

is a root of the equation

z^3 - 7 z^2 + Cz+D=0.

Find the values of the real constants

{C}

and

{D.}

{C = }

{D = }