Question 1403b

Complex Numbers
Solving Equations Using Sum/Product of Roots

Question

Given that 12i{1 - 2 \mathrm{i}} is a root of the equation
(1+3i)z2+(79i)z+10=0,(- 1 + 3 \mathrm{i})z^2 + (- 7 - 9 \mathrm{i})z + 10=0,
find the second root of the equation.

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