choices
a . 12 - 9i / 25
B. 12-9i / 7
C. 9+12i / 25
D. 9+12i / 7
OpenStudy (anonymous):
your help is very much appreciated
OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (freckles):
So you are doing:
\[\frac{\sqrt{-9}}{3-2i}+(1+5i)\]
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OpenStudy (anonymous):
the bottom is set up as (3-2i)+(1+5i)
so idk if thats the same as that or not
OpenStudy (anonymous):
That looks right though
OpenStudy (freckles):
So you mean the problem is:
\[\frac{\sqrt{-9}}{(3-2i)+(1+5i)}\]
OpenStudy (anonymous):
Yes!
OpenStudy (freckles):
no this expression and the expression you gave aren't equivalent
it is like saying 1/1+2 is the same as 1/(1+2)
and we know 1+2 isn't the same as 1/3
because 1+2 is 3 and 1/3 doesn't equal 3
---
but any who...
do you know the square root of 9?
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OpenStudy (anonymous):
3
OpenStudy (freckles):
\[\sqrt{-1}=i\]
so I'm going to rewrite this as :
\[\frac{\sqrt{9} i}{(3-2i)+(1+5i)}=\frac{3i}{(3-2i)+(1+5i)}\]
OpenStudy (freckles):
so on bottom you have 3+1 and -2i+5i
OpenStudy (freckles):
do you know how to find those sums
OpenStudy (anonymous):
No :(
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OpenStudy (freckles):
oh I don't believe that 3+1 equals...
|dw:1424056030842:dw|
how many circles do you see in all