SOLUTION: Given a quadratic equation with rational coefficients with a root of negative 2/3i: a) What is another root to the equation?

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Question 621337: Given a quadratic equation with rational coefficients with a root of negative 2/3i: a) What is another root to the equation? b) What are the factors of the equation? c) What is the quadratic equation with the given root?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
I just solved another very similar problem. First, know that the other root will be the complex conjugate of the given root. The complex conjugate of
%28-2%2F3%29i (or 0+%2B+%28-2%2F3%29i) is
%282%2F3%29i (or 0+%2B+%282%2F3%29i).

Then click here to see the other solution. It should help you figure out this problem.