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The roots of the quadratic equation $z^2 + bz + c = 0$ are $4 + 2i$ and $-5 + 8i$. What is $b+c$?

 Jan 10, 2024
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-b =  (4 + 2i)  + (-5 + 8i)  =  -1 + 10i

b = (1 -10i)

 

c = (4 + 2i) (-5 + 8i)  =   -20 -10i + 32i + 16i^2  =  -36 +22i

 

b + c  =  (-1 + 10i)  + ( -36 + 22i)  =   -37 + 32i

 

 

cool cool cool

 Jan 11, 2024

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