Question 1403b

Complex Numbers
Solving Equations Using Sum/Product of Roots

Question

Given that 44i{- 4 - 4 \mathrm{i}} is a root of the equation
z2+(5+8i)z+(12+20i),z^2 + (5 + 8 \mathrm{i})z + (- 12 + 20 \mathrm{i}),
find the second root of the equation.

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