The equation of the line joining the complex numbers -5 + 4i and 7 + 2i can be expressed in the form az + b*overline{z} = 38 for some complex numbers a and b. Find the product ab. Any help?
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For sure! a = 7 - 2i and b = 7 + 2i, so ab = (7 - 2i)(7 + 2i) = 53.
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