Question 1403b

Complex Numbers
Solving Equations Using Sum/Product of Roots

Question

Given that −4+3i{- 4 + 3 \mathrm{i}} is a root of the equation
z2+(−5i)z+(−22+4i),z^2 + (- 5 \mathrm{i})z + (- 22 + 4 \mathrm{i}),
find the second root of the equation.

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