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Equating complex number interms of the other

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Fikadu

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Hello Every one,
It was tying to equate complex number summation. It looks easy, but took me a while to solve it . would you help me please? It is attached as image as follows:

equate.PNG



Thak you in advance.
 

Hi,
...
It looks easy, but took me a while to solve it . would you help me please?
...
You've already solved it. What are we going to help you do then?
 

Hi,

You've already solved it. What are we going to help you do then?

Hi Akanimo,
Sorry, I guess you didn't get my question. I want to express Zm and ZL in terms of Z1 and Z2. Let it be (Zm*ZL)/ (Zm + ZL) = (Z1 -Z2)/ (Z1*Z2). I need in such away.

Thank you a lot.
 
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Do not expect any equation to be rearranged in a way to make explicit specific variables as function arguments. This seems to be one of those cases where the solution can be obtained only numerically, not algebraically.
 

Do not expect any equation to be rearranged in a way to make explicit specific variables as function arguments. This seems to be one of those cases where the solution can be obtained only numerically, not algebraically.


andre_teprom,
Thank you a lot.
As you said, it may not be re-arrangeable . Still, in case there is some one who could do it, I am looking forward.
Thank you
 

The equation can be rearranged as follows:
a.png
This can help.
 
The equation can be rearranged as follows:
View attachment 150522
This can help.

LMA,
Thank you a lot for your help.
Yes, it can be rearranged in a way you did. But still Zm is expressed in terms of the other, not Zm and ZL are expressed in terms of Z1 and Z2.
I want to collect Zm and ZL to one side to express in terms of Z1 and Z2.
 

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