- #1
sarahs52
- 6
- 0
Homework Statement
Suppose that c is a member of the Real numbers, and p is a member of the Complex numbers with p not equal to 0, are given numbers.
(a) Show that pz + conjugate(pz) + c = 0 is the equation of a straight line in the plane.
Provide a carefully-drawn plot that illustrates your solution for a few given values of the constants c and p.
Homework Equations
z is a complex number (i.e. x+iy)
The Attempt at a Solution
a) After simplifying the conjugates: px +ipy + px - ipy + c = 0
After collecting like terms: 2px + c = 0
Solving for x: x = -0.5(c/p)
Now, I don't understand how the graph would look like. Would it be a vertical line on the real vs imaginary axes?
Thank you.