Help with Complex Numbers

iotiX

New member
Joined
Jul 19, 2005
Messages
10
I just want to know if these are correct. I'll try to show my work as best I can, so if i mess up, please elaborate on where and how so I can improve.

1.) Problem: (8 + i) + -(12 - 6i)

Work:
(8 + i) + -(12 - 6i)
(8+i) + (-12 + 6)
(8 + -12) + (6i + i)

Final Answer: -4+7i


2.) Problem: (4 + i)(9 - i)

Work:
(4 + i)(9 - i)
36 + -4i + 9i + -i²
36 + 5i + 1

Final Answer: 37+5i


3.) Problem: (12) / (4 - i)

Work:
(12) / (4 - i)
(12 * (4 + i)) / ((4 + -i)(4+i))

Final Answer: (48 + 12i) / (17)
 
They all look good to me. Thank you for showing your steps!!

:D

Eliz.
 
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