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Let a and b be real numbers. The complex number 4 - 5i is a root of the quadratic z^2 + (a + 8i) z + (-39 + bi) = 0. What is the other root?

I did a lot of work on hand and with wolfram alpha but it doesn't simplify itself easily at all....anyone have any help to offer? Thanks

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never mind I figured it out with vieta's formula :)

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