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Fellowroot
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Homework Statement
Use the Definition Re(z1)=Re(z2), Im(z1)=Im(z2)to solve each equation for z=a+bi.
[itex]\frac{z}{1+\bar{z}}[/itex]=3+4i
Homework Equations
Sec 1.1 #42 from Complex Analysis 2nd ed from Dennis Zill
The Attempt at a Solution
I have solved several similar problems like this one in my text but I'm getting stuck on this one part.
The goal is to say:
[itex]\frac{z}{1+\bar{z}}[/itex]=[itex]\frac{a+ib}{1+a-ib}[/itex]
and put the right hand side of this equation into a real part and an imaginary part and equate the real and imaginary parts to the original one given.
So in short how to I put [itex]\frac{a+ib}{1+a-ib}[/itex] into a+bi form?
I have tried many conjugates but none have worked
Thanks