i really need help on this...
if z is an imaginary number, and a is a real parameter, sketch the locus of;
z-5 = ai(z+5)
i know how it would work if it were moduli, but not a clue with just the imaginary numbers as they are
ok, i understand that part, but then i get to this point;
y= [10+x(ai-1)] / (a+i)
and i don't know what to do with it..
i know that the answer is supposed to be a circle, but how do i get rid of the a's in my equation? do i even need to?
thanks for the help so far