Mathematics
8 Online
OpenStudy (softballgirl372015):
Help with Algebra 2. Question attached.
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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
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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
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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
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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
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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?
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OpenStudy (softballgirl372015):
hahah sorry!
OpenStudy (anonymous):
kapeesh??
OpenStudy (softballgirl372015):
yea! thanks bro!
OpenStudy (anonymous):
ok bye now
OpenStudy (softballgirl372015):
bye