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
(5i)z2+(5+5i)z+25=0,(5 \mathrm{i})z^2 + (5 + 5 \mathrm{i})z + 25=0,
find the second root of the equation.

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