SOLUTION: Find all solutions of the equation and express them in the form (a+bi) z + 4 + 12/z = 0 Thanks :)

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Question 263370: Find all solutions of the equation and express them in the form (a+bi)
z + 4 + 12/z = 0
Thanks :)

Found 2 solutions by drk, richwmiller:
Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
here is our original equation:

step 1 - multiply by z to get

using the quadratic, we get

which becomes

and then

canceling, we get

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
Put everything over z

z=-2.-2.82843i
z=-2.+2.82843i

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