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OpenStudy (anonymous):
please answer
OpenStudy (anonymous):
alright so we know √-49 = √-1*√49 = i7 this is what the numerator simplifies too, the bottom simplifies to 1 - i
so we get 7i/1-i
OpenStudy (anonymous):
sorry the bottom is 1+9i
OpenStudy (kropot72):
\[\frac{i7}{1+i9}\]
OpenStudy (anonymous):
that not one of the answer though
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OpenStudy (anonymous):
whats the answer they may have multiplied the top and the bottom by something
OpenStudy (anonymous):
is it -7/(i-9) ?
OpenStudy (anonymous):
OpenStudy (anonymous):
7+7i divided by 2?
OpenStudy (anonymous):
63+7i divided by 82
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OpenStudy (anonymous):
-7 + 7i divided by 2
OpenStudy (anonymous):
-63 + 7i divided by 82
OpenStudy (anonymous):
those are the choices...
OpenStudy (kropot72):
\[\frac{63+i7}{82}\]
OpenStudy (anonymous):
thats it kropot thanks!!
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OpenStudy (kropot72):
You're welome :)
OpenStudy (anonymous):
can you explain it?
im so confused
OpenStudy (anonymous):
they multiplied the top and the bottom by (1 - 9i)
OpenStudy (anonymous):
so in this case we got 7i/1+9i and now if multiply the top and the bottom by (1 - 9i)
we get the bottom to be 1+81 =82
and the top to be 7i(1-9i) = 7i+63
so therefore
the final answer is 7i+63/82 :)
OpenStudy (kropot72):
Sure.\[\frac{\sqrt{-49}}{(3+4i)-(2-5i)}=\frac{7i}{3+4i-2+5i}\]
Do you follow?