Use the discriminant to determine the number and nature of the solutions to the quadratic equation. Do not solve the
equation.
-$$3 x ^ { 2 } - 3 x + 4 = 0$$
A)two nonreal solutions
B)two real solutions
C)exactly one real solution

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, $a = 3$, $b = -3$, and $c = 4$. Thus, the discriminant is $(-3)^2 - 4(3)(4) = 9 - 48 = -39$. Since the discriminant is negative, the equation has two nonreal solutions.

Use the Discriminant to Determine the Number and Nature of the Solutions