4. (10 points) Find all possible solutions. Write your answer in the form of x + iy. (a) Find all complex number(s) z such that |z - 3 + 2i| = 4 and |z - 2 - 3i| = 2.
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Step 1: Square both sides of the equation |z - 3 + 2i| = 4 This gives us (x - 3)^2 + (y + 2)^2 = 16, which represents a circle with radius 4 and center at (3, -2). Show more…
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