Use the discriminant to determine the number and type of solutions of the equation.
-$$x ^ { 2 } + 2 x + 4 = 0$$
A) Two real solutions
B) One real solution
C) Two complex but not real solutions

Question

Quizplus · Accepted Answer

The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by $b^2 - 4ac$. For the given equation, $a = 1$, $b = 2$, and $c = 4$, so the discriminant is $2^2 - 4(1)(4) = 4 - 16 = -12$. Since the discriminant is negative, the equation has two complex (but not real) solutions.

Use the Discriminant to Determine the Number and Type of Solutions