The product of the complex numbers 5-7i and a+bi, where a and b are constants, is 148. What is the sum of a and b? (Note: i=\sqrt{-1})



Comments (2)

I think it is easier to multiple (5-7i) (a+bi) and set the real part of the result equal to 148 and the imaginary part equal to zero. Then you will have a set of 2 linear equations with 2 unknowns, a and b. Simply solve those. Perhaps this takes a little bit longer, but not much.

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