Question

For this problem we will use the complex numbers 3 - 6i and 9 + i

Answer 1

Answer:

Step-by-step explanation:

conjugates are the the same number with an opposite sign in the middle

3 - 6i  = 3 + 6i '      the  '  mark often denotes a conjugate.. and other things

9 + i  = 9 - i '  

because complex number represent two different ..(orthogonal ) directions... or at a right angle.. they don't affect each other at all

so to add we just add those part independently

A) (3 - 6i ) + (9 +i )  

3+9  + (-6+1)i   =  12-5i

B) ( 3 + 6i)    + (  9 - i)

(3+9) + (6+ (-1)) i

12 +5i

C)  notice the only difference of the sum of the conjugates is   the sign, and so the sum of the conjugates is itself a conjugate too  :)  this is handy  .. especially in elect. engineering  :P