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smc

algebra senior

Problem

It is given that one root of , with and real numbers, is . The value of is:
(A)
(B)
(C)
(D)
(E)
Solution
If a quadratic with real coefficients has two non-real roots, the two roots must be complex conjugates of one another. This means the other root of the given quadratic is . Now Vieta's formulas say that is equal to the product of the two roots, so .
Final answer
E