Write as sum of real and imaginary part

  • Thread starter greisen
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  • #1
greisen
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Hi,

I have to write the 1/(a+ib) as a sum of a real part and an imaginary part.

I was thinking of using the complex conjugate (a-ib) and multiply with this

(a-ib) / (a^2 + b^2)

I am a little bit lost on what to do next - any help appreciated thanks in advance

Best
 

Answers and Replies

  • #2
Shooting Star
Homework Helper
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(a-ib) / (a^2 + b^2)

I am a little bit lost on what to do next - any help appreciated thanks in advance

Do you know how to write (x+y)/z as the sum of two fractions?
 
  • #3
tiny-tim
Science Advisor
Homework Helper
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(a-ib) / (a^2 + b^2)

Hi greisen! :smile:

You've done it!

That is the solution! :smile:
 
  • #4
Shooting Star
Homework Helper
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That is the solution!

Not for a student who is just learning complex numbers. He won't get full marks if he leaves it at that.
 

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