Use the discriminant to determine the type and number of solutions. $3 x ^ { 2 } + 3 x + 2 = 0$
A) Two imaginary solutions
B) Two irrational solutions
C) Two rational solutions
D) One rational solution

Question

Quizplus · Accepted Answer

The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is given by $b^2 - 4ac$. For $3x^2 + 3x + 2 = 0$, the discriminant is $3^2 - 4(3)(2) = 9 - 24 = -15$. Since the discriminant is negative, the equation has two imaginary solutions.

Use the Discriminant to Determine the Type and Number of Solutions