Scholarship exam exercise about complex numbers - Can't solve

  • #1
Purpleshinyrock
27
6
Thread moved from the technical forums, so no Homework Template is shown
Hello, I have this (I am solving scholarship exams)math problem and I don't quite know what to do with it , Could You please help?

The exercise is about complex numbers and it says:
Calculate
kjh.png
in the algebraic form(a+bi)

I thought on applying substitution since -1=i^2 and z is the real part but don't know what to do with the w.
Heres the solution:
hhrtht.png
 
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  • #2
The first image appears to be a broken link and so we can't really help you with this yet.
 
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  • #3
jedishrfu said:
The first image appears to be a broken link and so we can't really help you with this yet.
I am sorry.
This is the image
kjh.png
 
  • #4
Purpleshinyrock said:
I am sorry.
This is the imageView attachment 280599
I assume you are given ##w## and ##z##?
 
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  • #5
yes
PeroK said:
I assume you are given ##w## and ##z##?
w=1´+2i and z=1+3i
 
  • #6
Purpleshinyrock said:
yes

w=1´+2i and z=1+3i
Okay, what don't you understand about the given solution?
 
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  • #7
Purpleshinyrock said:
w=1´+2i and z=1+3i
That would have been valuable information in the first post.
The solution just plugs that into the expression and then simplifies.
 
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  • #8
PeroK said:
Okay, what don't you understand about the given solution?
I thought I needed to apply a concept of complex numbers , I am so sorry I did what you where implying and got to the result I din't think of the pluggin the values in.
 
  • #9
Purpleshinyrock said:
I thought I needed to apply a concept of complex numbers , I am so sorry I did what you where implying and got to the result I din't think of the pluggin the values in.
Yes, that's all there is to it.
 
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  • #10
One property you need to know is that i^2=-1 so you can use this to simplify the power expression. You also need to know about complex conjugation.
 
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