Question 1403b

Complex Numbers
Solving Equations Using Sum/Product of Roots

Question

Given that 1+i{- 1 + \mathrm{i}} is a root of the equation
z2+(6+3i)z+(9i),z^2 + (6 + 3 \mathrm{i})z + (9 - \mathrm{i}),
find the second root of the equation.

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