(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

z is a complex number (i.e. x+iy)

3. 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.

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# Complex variables- graphing an equation

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