Question

Perform the addition (-9/2 +1/2i) + (3/2 - 7/2i)

Answer 1

My example shows to put the i on the outside of the equation like this-

(-9/2 +1/2) + (3/2 - 7/2)i

Im not sure what to do next

Answer 2

I wouldn't do it like that.
Our answer has to be in the form of ai+b or a+bi... the same rule applies for subtraction ai-b or a-bi
so what I would've done is to combine the like terms as in put all the terms without the i's to the left and all terms with the i's to the right

Answer 3

\[\frac{-9}{2}+\frac{3}{2}+\frac{1}{2}i-\frac{7}{2}i\]

Answer 4

now the denominators are the same which is good because we don't have to use GCF or LCD ...

so can you tell me what -9+3 is?
and 1-7 ?

Answer 5

-6

Answer 6

alright so now we have
\[\frac{-6}{2}+\frac{-6}{2}i\] so what's -6 divided by 2

Answer 7

Im trying to follow but Id like to follow the examples with the i on the outside

Answer 8

you need to rearrange the terms a bit before you can factor the i outside.

Answer 9

I did another problem like this--
(-5+5i) + (9+8i)
= (-5+5) + (9+8)i
-5+9 + 5+8
4 + 13i

Answer 10

there's a problem with that

Answer 11

What would that be?? The answer is correct

Answer 12

(-5+5i)+(9+8i)
you have to rearrange the terms first

it should look something like this

-5+9+5i+8i
and then it would be 4+13i which is right, but you need to do some rearranging first

Answer 13

either combine like terms or take the i outside
-5+9+(5+8)i
4+13i

Answer 14

the same goes with this
\[\frac{-9}{2}+\frac{3}{2}+\frac{1}{2}i-\frac{7}{2}i \]
\[\frac{-9}{2}+\frac{3}{2}+(\frac{1}{2}-\frac{7}{2})i\]

Answer 15

O_O! What happened to my latex? -____-! OS is acting up.

Answer 16

All of my examples do it with the i on the outside so its easier for me to understand

Answer 17

latex?

Answer 18

there's more than one method to doing this problem and it all gives the same result as long as you do the correct arithmetic.

Answer 19

Okay

Answer 20

Im following you now

Answer 21

let me rewrite the top portion... it's not displaying right

Answer 22

Okay

Answer 23

\[\frac{-9}{2}+\frac{1}{2}i+\frac{3}{2}-\frac{7}{2}i\]
\[\frac{-9}{2}+\frac{3}{2}+\frac{1}{2}i-\frac{7}{2}i \] [rearrange the terms]

\[\frac{-9}{2}+\frac{3}{2}+(\frac{1}{2}-\frac{7}{2})i \] [factor the i so it appears on the outside]
\[\frac{-6}{2}+(\frac{-6}{2})i \] [solve for the numerators]
last step is division

Answer 24

-6/2 = ?

Answer 25

-3

Answer 26

\[-3-3i \] yup and we're done :)

Answer 27

Okay thank you!