Question 1403b

Complex Numbers
Solving Equations Using Sum/Product of Roots

Question

Given that 2+i{2 + \mathrm{i}} is a root of the equation
(2+6i)z2+(62i)z+40=0,(- 2 + 6 \mathrm{i})z^2 + (- 6 - 2 \mathrm{i})z + 40=0,
find the second root of the equation.

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