Question

Write the complex number in standard form. 3-6i/6-i. I came up with 21/37-30/32i. Is this correct?

Answer 1

conjugate the bottom

Answer 2

Yep I did . Multiplied by 6+1/6+1

Answer 3

24 -33i
------- simplify as needed
37

Answer 4

I came up with 18+3-36i-6i/36-i^2 after multiplying?

Answer 5

teh bottom part is good; try the top again

Answer 6

(3-6i) (6+i)

3.6 + 3.i + -6i.6 + -6i.i

Answer 7

That is still what I am getting?

Answer 8

24 + (-36+3)i +6

Answer 9

24 - 33i ; typing and adding just dont mix with me ...

Answer 10

18+3-36i-6i?

Answer 11

3.6 + 3.i + -6i.6 + -6i.i what is the answer to this?

Answer 12

3 times 6 = ??

3 time i = ??

-6 times 6 = ??

-6i times i = ??

Answer 13

18+3i-36-6i^2

Answer 14

good, you even included the typo lol ; lets make that -36i for good measure

Answer 15

now add like terms

Answer 16

I think I found my mistake. I took the i and thought it was a 1

Answer 17

yep; they really shuold use a different symbol for it; something grand and unmistakeable ;)

Answer 18

ok. I am still having a problem. I went back and re-did the multiplication and came up with a numerator of18-30i-6i(-1) and a denominator of 36-(-1). Is this part correct?

Answer 19

let see...

-36i
+ 3i
-----
-33i

the rest is good

Answer 20

So now I am coming up with 18/37-24/37

Answer 21

opps; that -6i^2 means -6(-1) = 6

Answer 22

18 -6i^2 = 18+6 = 24

Answer 23

isnt i^2=-1?

Answer 24

yes. that is its definition

so the top part is:

18 -33i -6i^2

18-6i^2 -33i

18 -6(-1) -33i

18 +6 -33i

24 -33i

Answer 25

Ok. and the denominator is -37?

Answer 26

the denom is:

36 -(i^2)

36 -(-1)

36 +1

37

Answer 27

Final answer 24/27-33/37i

Answer 28

oops. Yes 37

Answer 29

yes; barring typos, that is the correct answer :)

Answer 30

Woo-Hoo! Thanks for holding my hand through that! I just made a bunch of little mistakes that threw me off.