Question

How do i simplify this?

Answer 1

\[\frac{ 2 }{ 2+5i }\]

Answer 2

Multiply numerator and denominator by 2-5i

Answer 3

^

Answer 4

wouldnt i divide it?

Answer 5

Nope - You multiply
2/2+5i ----> 4/29 - 10i/29

Answer 6

Or - In alternate form - 2/29(2-5i)

Answer 7

the multiple chooice look really different .-.

Answer 8

Can you give them to me? ^_^

Answer 9

a 2/29
b 4/29
c 4 + 10 i /29
d 4 -10i/29

Answer 10

yep that's d

brackets.....

Answer 11

\[\hspace{11pt}\frac2{2+5i}\]\[=\frac{2\color{green}{(2-5i)}}{(2+5i)\color{green}{(2-5i)}}\]\[=\frac{4-10i}{4-25i^2}\]\[=\frac{4-10i}{4+25}\]\[=\frac{4-10i}{29}\]

Answer 12

^

Answer 13

The elements of Latex - Ya gotta love em

Answer 14

Wish I could do them - Time I study LOL

Answer 15

lol i worked in proofwiki for like 1 month or so

Answer 16

Great Job KC!

Answer 17

i got it now thank you

Answer 18

Oh wow - I should start now then LOL

Answer 19

until the rude admin kicked me out so i still know latex and stuff

Answer 20

No problem! Have a great day and Good Luck!

Answer 21

LOL
Kicking X_x

Answer 22

no problem :)

Answer 23

not actually kicked me but i was furious so i quitted

Answer 24

that admin so rude

Answer 25

while you guys are still here how would i do this, (−5 + 3i) • (1 − 2i)

Answer 26

just FOIL it :)

Answer 27

OH WOW

Answer 28

Never quit - No matter what happens on here!

Answer 29

no i didn't say here i said proofwiki
admins here are nice

Answer 30

http://prntscr.com/29iwcd

Answer 31

Now I thought you were talking about Latex! XD
But hey - They kick you - You give them some of those cups of punch *-*

Answer 32

im getting -5+10i+3i-6i^2 ?_?

Answer 33

You my friend are talented Kc *-*
Time I brag to my friends about a Latex pro

Answer 34

@charlotte123 coz proofwiki also uses latex :)
@ajl96 yep and then remember that i^2=-1

Answer 35

I see now xD My head could be such a rock sometimes!

Answer 36

these are the options though :(

A) −5 − 6i
B)1 + 13i
C)2 + i
D)4 − 5i

Answer 37

and add the like terms together :)

Answer 38

would i and i^2 subtract?

Answer 39

nope but remember that \(i^2=-1\) :)

Answer 40

OH! so its -5-6i

Answer 41

no :/

Answer 42

what .... lost now

Answer 43

\[ \hspace{11pt}(-5+3i)(1-2i)\]\[=-5+10i+3i-6\color{green}{i^2}\]\[=-5+10i+3i-6(-1)\]

Answer 44

oh 1 + 13i i see what i did wrong thank you so much for bearing with me

Answer 45

no problem :)