Without solving, determine the character of the solutions of the equation in the complex number system.
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A)two complex solutions that are conjugates of each other
B)two unequal real solutions
C)a repeated real solution

Question

Without solving, determine the character of the solutions of the equation in the complex number system.
-
A)two complex solutions that are conjugates of each other 
B)two unequal real solutions 
C)a repeated real solution

Quizplus · Accepted Answer

The equation has a quadratic form with a negative discriminant, which implies that the solutions will be complex conjugates of each other. The equation has a coefficient of b^2 and a discriminant of 4ac - b^2. Since the discriminant is negative, the solutions are complex conjugates of each other.

Without Solving, Determine the Character of the Solutions of the Equation