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Mathematics 8 Online
OpenStudy (softballgirl372015):

Help with Algebra 2. Question attached.

OpenStudy (softballgirl372015):

OpenStudy (softballgirl372015):

hi! do you know how to do this?

OpenStudy (anonymous):

ok, replace x = 1-i to any where you see x. what do you get

OpenStudy (softballgirl372015):

i got 1+i over 4-i is that what you got?

OpenStudy (anonymous):

numerator must be 2 +i , right? check

OpenStudy (anonymous):

hurry up. I don't have time, try to help you

OpenStudy (softballgirl372015):

okay that is what i got. so the answer is 2+i over 4-i can that be simplified?

OpenStudy (anonymous):

ok. time both (numerator and denominator) by 4+i , and so trivial to get answer

OpenStudy (softballgirl372015):

okay. what did you get?

OpenStudy (anonymous):

up = (2 +i ) ( 4 +i) = 7 + 6i down = (4-i) (4 +i) = 17

OpenStudy (softballgirl372015):

i got 9+2i over 15-8i

OpenStudy (anonymous):

hey, what kind of expanding you have?

OpenStudy (softballgirl372015):

8-2i+4i+1 over 16-4i-4i-1

OpenStudy (anonymous):

down first: (4 + i ) ( 4 -i) = 4^2 - i^2= 16 - (-1) = 17

OpenStudy (anonymous):

now up: (2 +i) (4 + i) = 8 +2i + 4i + i^2 = 8 + 6i + (-1) = 7 + 6i

OpenStudy (anonymous):

combine them as I did above kapeesh?

OpenStudy (softballgirl372015):

yup! thank you!! :)

OpenStudy (softballgirl372015):

what do you mean?

OpenStudy (anonymous):

your brother must go now. hurry up if you want to say something

OpenStudy (softballgirl372015):

okay in (4 + i ) ( 4 -i) what is one plus and one minus

OpenStudy (anonymous):

dont' understand, say it again, i is complex number.

OpenStudy (anonymous):

ok, got it.

OpenStudy (softballgirl372015):

oh okay i get it so the answer is 7+6i over 7

OpenStudy (anonymous):

apply exactly the formula (a+b)(a-b)

OpenStudy (anonymous):

over 17! how careless you are, guy?

OpenStudy (softballgirl372015):

hahah sorry!

OpenStudy (anonymous):

kapeesh??

OpenStudy (softballgirl372015):

yea! thanks bro!

OpenStudy (anonymous):

ok bye now

OpenStudy (softballgirl372015):

bye

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