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Equation with complex numbers and 2 variables

GROUPS:
I have an equation: 1 + ( 9 / ( s*(s + 9) ) )*( k/(s + b) ) = 0; where s = -2 + i*2 (i is the complex number). I know it can be solve by separating into real and imaginary parts, substituting the value of s and then equating both equations to zero and solving the simultaneous equations to find the values of b and k. but how do i make Mathematica do this for me cause it takes very long on paper.

thanks heaps guys
POSTED BY: Hagrid Weasly
Answer
11 months ago
Link to cross post on Mathematica.SE, to reduce duplication of effort.
POSTED BY: Szabolcs Horvat
Answer
11 months ago