Question

For this problem we will use the complex numbers 3 - 6i and 9 + i
What is the conjugate of each complex number?



What is the sum of the complex numbers? Show all work.



What is the sum of the conjugates of the complex numbers? Show all work.

Answer 1

Conjugate is just changing the sign on the imaginary number, so the conjugates here are 3+6i and 9-i

The sum of the original complex numbers is (3-6i)+(9+i)=12-5i

The sum of the conjugates is (3+6i)+(9-i)=12+5i