Use the discriminant to find the number and kind of solutions for the following equation.

Question

Quizplus · Accepted Answer

The discriminant of a quadratic equation in the form $ax^2+bx+c=0$ is given by $D=b^2-4ac$. If $D<0$, then there are two complex solutions, if $D=0$, then there is one real solution, and if $D>0$, then there are two real solutions. In this case, the discriminant is $D=(-2)^2-4(2)(3)=-16$, which means there are two complex solutions. Therefore, the best choice is (B).

Use the Discriminant to Find the Number and Kind of Solutions