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Mathematics 7 Online
OpenStudy (anonymous):

9+i / 9- i

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) ------- (9-i)(9+i)

OpenStudy (anonymous):

or is it 1 + 18i ?

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

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

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

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