- #1
King_Silver
- 83
- 6
Homework Statement
a) Solve equation z + 2i z(with a line above it i.e. complex conjugate) = -9 +2i
I want it in the form x + iy and I am solving for z.
b)
The equation |z-9+9i| = |z-6+3i| describes the straight line in the complex plane that is the perpendicular bisector of the line segment from 9-9i to 6-3i.
Find the value of m and c
Homework Equations
Complex conjugate: z = x + iy, z(line above it) = x -iy
The Attempt at a Solution
a) I'm not exactly sure how to approach this but I have a few ideas.
- let z = -9 and 2i z(line above) = 2i and solve that way
- Let the entire equation = z, however when I do this what do I do about the complex conjugate z?
- Let entire equation = z complex conjugate and change the signs?
b) If you write it in term of x +iy, you can write the equation like so: y = mx+c.
I now need to find the values of m and c, my textbook literally jumps to insanely easy complex numbers to questions like these, I presume they are just difficultly worded questions and that they aren't actually difficult. Any help on how to approach these questions?