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OpenStudy (anonymous):
√-1
________
(2 - 4i) - (5 +3i)
Simplify the expression
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OpenStudy (radar):
\[\sqrt{-1}\over (2-4i)(5+3i)\]Is the expression?
OpenStudy (anonymous):
yes it is
OpenStudy (radar):
Or is it\[\sqrt{-1}\over (2-4i) - (5+3i)\]
OpenStudy (anonymous):
yeah that is correct
OpenStudy (radar):
If it is the first\[7-11i \over 340\]If it is the second:\[-(3i+7)\over 58\]
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OpenStudy (anonymous):
how did you get 58? I got 40
OpenStudy (radar):
I got 9-49i^2 or that would be 9 -(49)(-1)=9+49=58
but you got me worried let me recheck.
OpenStudy (anonymous):
lol ok
OpenStudy (radar):
(-3-7i)(-3+7i)=9 -49 i^2=9+49=58
OpenStudy (anonymous):
Oh ok, yeah I looked back at my work and I added wrong. so it would be
-7 - 3i / 58
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OpenStudy (radar):
don't forget\[i ^{2}=-1\]
OpenStudy (anonymous):
So wait.. is it -7 - 3i /58, because before I put i as -1, it was -3i + 7i^2
OpenStudy (radar):
I changed the two signs by placing the sign to the left and on the viniculum
OpenStudy (radar):
Yes,
-3i-7 3i+7
------- or - -----
58 58
note the minus sign to the left (middle) of the 2nd term.
OpenStudy (anonymous):
Thank you very much :)
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OpenStudy (radar):
u r welcome
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