Question 1403b

Complex Numbers
Solving Equations Using Sum/Product of Roots

Question

Given that 2+3i{2 + 3 \mathrm{i}} is a root of the equation
z2+(−3−4i)z+(−1+5i),z^2 + (- 3 - 4 \mathrm{i})z + (- 1 + 5 \mathrm{i}),
find the second root of the equation.

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