Chapter 8 - Application of Trigonometry - 8.5 Trigonometric (Polar) Form of Complex Numbers: Products and Quotients - 8.5 Exercises - Page 800: 28

$$9 - 2i$$

$$\eqalign{ & {\text{Let }}{\bf{u}} = 4 - 2i,{\text{ and }}{\bf{v}} = 5 \cr & {\text{Find the sum }}{\bf{u}} + {\bf{v}} \cr & {\bf{w}} = {\bf{u}} + {\bf{v}} \cr & {\bf{w}} = \left( {4 - 2i} \right) + \left( 5 \right) \cr & {\bf{w}} = 4 - 2i + 5 \cr & {\text{Add real parts}} \cr & {\bf{w}} = 9 - 2i \cr & \cr & {\text{Graph}} \cr} $$