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December 15th, 2012, 07:31 AM  #1 
Newbie Joined: Dec 2012 Posts: 28 Thanks: 0  Help complex numbers
Need help about this: Express the following in the form : 
December 15th, 2012, 07:59 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Help complex numbers
Try multiplying both terms by 1 in the form of the conjugate of the denominator over itself. Then add the resulting real and imaginary components. What do you get?

December 15th, 2012, 08:11 AM  #3 
Newbie Joined: Dec 2012 Posts: 28 Thanks: 0  Re: Help complex numbers
I get this: 44/3i , but I'm not sure that it is right:/

December 15th, 2012, 08:26 AM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Help complex numbers
No, that's not correct. Can you post your work so we can see where you are making an error?

December 15th, 2012, 08:51 AM  #5 
Newbie Joined: Dec 2012 Posts: 28 Thanks: 0  Re: Help complex numbers
No, it says it have very large size ( can you post your?

December 15th, 2012, 09:20 AM  #6 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Help complex numbers
Type it out (should only take a minute or two at the most). I would much rather see typed work than images of handwritten work anyway.

December 15th, 2012, 09:09 PM  #7 
Newbie Joined: Dec 2012 Posts: 28 Thanks: 0  Re: Help complex numbers
13i/1+i  i/2+i= (13i)(2i)+(i)(1+i) / (1+i)(2i) = (5+5i)+(i+1) / 13i = 5+5ii+1 / 13i = 4+4i / 13i = 4  4/3 i Re= 4, Im= 4/3i 
December 15th, 2012, 09:15 PM  #8 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Help complex numbers
I suggest simplifying: 
December 15th, 2012, 10:52 PM  #9 
Newbie Joined: Dec 2012 Posts: 28 Thanks: 0  Re: Help complex numbers
I get this after simplyfing: 24i/2  2i+1/5 
December 15th, 2012, 11:05 PM  #10 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Help complex numbers
If you mean (24i)/2  (2i+1)/5 then that is correct. This can further be simplified to: Now you need collect together the real and imaginary parts. 

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