Question

can anybody please help me with this?

Answer 1

What have we here? :)

Answer 2

\[\frac{ (3-2i) (5-i) }{ 5^{2} - i ^{2} }\] is this correct? for the next step?

Answer 3

Whoops, I meant
\[\Large \frac{3-2i}{5+i}\]sorry

Answer 4

You started with that ^ ?

Answer 5

yes

Answer 6

You learn quickly...
Good job :)

Answer 7

:) I have a good teacher

Answer 8

Now, the bottom part is just 5 - ( -1 ) which is just 6, so worry about that later...
Simplify the numerator? :)

Answer 9

Just FOIL away lol.
You can treat the i like any variable, and just simplify later...

Answer 10

Are you still there, @RH ?

Answer 11

Yes sorry @terenzreignz my laptop froze :(

Answer 12

Thaw it out :P
Now, about simplifying the numerator...?

Answer 13

is the numerator like this \[15 - 3i - 10i -2i\]

Answer 14

We seem to have a problem with \[\Large -2i \times -i \]
try multiplying them again... but it's definitely not -2i :)

Answer 15

-2iˆ2

Answer 16

we... have a problem... remember that negative times negative is positive...
\[\Large -2i \times -i = +2i^2\]

Answer 17

yes sorry!!! :(

Answer 18

LOL okay, so what is \(\large 2 i^2 = \color{red}?\)

Answer 19

15-13i + 2iˆ2/ 25 - (-1). is this correct?

Answer 20

LOL yeah, but, what is \(\large 2i^2 = \color{red}?\)

Never ever forget that \(\large i^2 = -1\)
:D

Answer 21

2iˆ2= -2 ?

Answer 22

That's right.

Answer 23

So it can be simplified further :)

Answer 24

so \[\frac{ 13 - 13i }{ 26 }\] is the answer?

Answer 25

Well, almost :P
You CAN simplify that...

Answer 26

Factor out the 13...

Answer 27

\[\Large \frac{13(1-i)}{26}\]

Answer 28

@terenzreignz thanks! but that is not in the choices :(

Answer 29

Of course not... what is 13/26?

Answer 30

hmm I am not sure how to simplify that :S

Answer 31

Seriously? LOL
\[\Large \frac{13}{26}\]
This is elementary 'simplifying fractions to lowest terms'
D:

Never \(\color{red}{ever}\) forget the basics!!!!

Come on, look at it again, I believe in you :)

Answer 32

Ooo sorry I didnt understand the question!!!

Answer 33

Okay, so, what is 13/26?

Answer 34

26 can be simplified if it is divided by 13 and it equals 2 ?

Answer 35

Yes... so, canceling out, you get...?

Answer 36

13/2

Answer 37

I would like to emphasize that you really shouldn't be having trouble with arithmetic D:
\[\Large \frac{13(1-i)}{26}=\frac{\cancel{13}^1(1-i)}{\cancel{26}^2}\]

Answer 38

Is that in the choices now? :)

Answer 39

YES! thank you so much!

Answer 40

Extra emphasis on basics...
Your teachers are teaching you algebra on the assumption that you have pretty much mastered arithmetic, so do yourself a favour and master it :D