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# The equation of the line joining the complex numbers

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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.

Jan 23, 2021

### 1+0 Answers

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We can convert complex numbers x + yi to the point (x,y).  This gives us the answer ab = 18.

Jan 24, 2021