Solving Complex Number Problems: Rectangular and Polar Form

[Ben_sa]

Hello all
I am having this problem with complex number and i don't know exactly how to solve it. Can i get some help with it please:

i) Z1 = 2 + j5, Z2 = 1 – j3 and Z3 = 4 – j determine, in both rectangular and polar form, value of
((Z1 * Z2)/(Z1 + Z2)) + Z3
(Give the final answers to 3 significant figures).

Thanx

 

[Hootenanny]

Welcome to the forums Ben,

Just for future reference there are homework forums, specifically for homework questions. In addition, the rules of the forums state that one must show ones attempt at a question before receiving help...

 

[Ben_sa]

Sorry i forgot about that in the rules
this is my work that i did i hope it is right

((2+j5) * (1-j3))/((2+j5) + (1-j3))

= 2 - j3 +j5 +15/(3+j2)

=((17+2J) * (3-j2))/((3+j2) * (3-j2))

=55 +42j/13

= (4.231 + 3.231j) + (4-j)
= (8.231 + 2.231j)

is that right??
Next time I'll remember to put it in the homework section

 

[Ben_sa]

The previous answer i think was wrong and i think this one is the right one
= 3.769 + j1.538
because there was a mistake in the second line

 

[Hootenanny]

Neither of your final answers are correct.

((2+j5) * (1-j3))/((2+j5) + (1-j3))

This line, however, is correct. Just check your arithmetic.