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
(−3−i)z2+(−1−7i)z+10=0,(- 3 - \mathrm{i})z^2 + (- 1 - 7 \mathrm{i})z + 10=0,
find the second root of the equation.

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