Question 1403b

Complex Numbers
Solving Equations Using Sum/Product of Roots

Question

Given that −3+3i{- 3 + 3 \mathrm{i}} is a root of the equation
z2+(1−7i)z+(−18−6i),z^2 + (1 - 7 \mathrm{i})z + (- 18 - 6 \mathrm{i}),
find the second root of the equation.

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