Mathematics
7 Online
OpenStudy (anonymous):
9+i / 9- i
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OpenStudy (anonymous):
9-8i/9
OpenStudy (anonymous):
multiply top and bottom by the conjugate of 9 - i - that is 9 + i
OpenStudy (anonymous):
i got 18i?
OpenStudy (anonymous):
(9+i)(9+i)
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(9-i)(9+i)
OpenStudy (anonymous):
or is it 1 + 18i ?
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OpenStudy (anonymous):
it is [i^2+18i+81]/80
OpenStudy (anonymous):
= 81 +18i - 1
----------
81 - i^2
= 80 + 18i
-------
82
OpenStudy (anonymous):
you should multiply with conjugate of the bottom and follow from there. the ans is the one i gave to you
OpenStudy (anonymous):
it is [i^2+18i+81]/82 I made a little correction on my calculation this is it
OpenStudy (anonymous):
you can simplify it a little by dividing by 2
(40 + 9i ) / 41
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OpenStudy (anonymous):
(81 + 18i - 1)/ (81 - (-1) ]= (80 +18i)/ 82
OpenStudy (anonymous):
[9+i]/[9-1]*[9+i]/[9+i]= [81+9i+9i+i^2]/[81-[i^2=-1]
OpenStudy (anonymous):
and final ans is[ i^2+18i+81/82
OpenStudy (anonymous):
and final ans is[ i^2+18i+81]/82
OpenStudy (anonymous):
right so far but you can simplify a bit further:
by definition i^2 = -1
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OpenStudy (anonymous):
if you want to Jummyrep that will give you [80+18]/82 final ans
OpenStudy (anonymous):
you are very right Jimmyrep
OpenStudy (anonymous):
ty