Patel Exercise 4O question 3: (1 Viewer)

[juampabonilla]

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)

 

[Axio]

For B trying letting z = x+iy. Might make it clearer.

 

[juampabonilla]

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

 

[juampabonilla]

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

 

[Axio]

Maybe place the z at (5,-12) on the Argand diagram, then sq root its modulus and divide its arg by 2...