Question

Simplify the given expression:

4 divided by the quantity of 3 minus 2i

Answer 1

Btw this operating complex numbers, really need help thanks !

Answer 2

get rid of imaginary numbers in denominator by multiplying by conjugate

\[\frac{4}{(3-2i)} *\frac{(3 + 2i)}{(3+2i)}\]

Answer 3

so now its 4/(3+2) ?

Answer 4

@dumbcow

Answer 5

you are getting the denominator correctly, but check your numerator.

Answer 6

does it become negative? @SolomonZelman

Answer 7

Does `what become negative ?

Answer 8

16

Answer 9

nevermind

Answer 10

the numerator becomes 16 right?

Answer 11

\[4(3+2i) =?\]

Answer 12

so 4(3) is 12 and 4(2i) is -8? so -4?

Answer 13

The denominator should be 3^2 + 2^2 = 13

Answer 14

I believe the final asnwer is 12-8i/13 is that correct>

Answer 15

And the numerator = 4*(3+2i) = 12+8i
Final result is (12+8i) / 13

Answer 16

Ok thanks alot I actually am starting to understand :)