Question 1403b

Complex Numbers
Solving Equations Using Sum/Product of Roots

Question

Given that 4−i{4 - \mathrm{i}} is a root of the equation
z2+(−5+4i)z+(1−13i),z^2 + (- 5 + 4 \mathrm{i})z + (1 - 13 \mathrm{i}),
find the second root of the equation.

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