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The roots of the quadratic equation z^2 + bz + c = 0 are -7 + 2i and -1 - 2i. What is b+c?

 Jul 19, 2022
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P(z) = z^2 + bz + c = (z - (-7 + 2i))(z - (-1 - 2i))

P(1) = b + c + 1 = (7 - 2i)(2 + 2i)

14 + 14i - 4i + 4 - 1 

17 + 10i.

 Jul 19, 2022

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