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Re: HSC 2014 4U Marathon - Advanced Level Patel Exercise 4O question 3: Express root(5-2i) in the form a+ib, Hence or otherwise find the locus of the point which represents z on the argand diagram, if Abs(z^2-5+12i)=Abs(z-3+2i)

Yeah... I already did and ended up with a very nasty unsolvable equation.

I actually already knew part A and was looking for an answer to part B. Thanks anyways!!!

Express root(5-2i) in the form a+ib, Hence or otherwise find the locus of the point which represents z on the argand diagram, if Abs(z^2-5+12i)=Abs(z-3+2i)