the discriminant of a quadratic equation is -5

which answers describes the number and type of solution of the equation?

2 complex solutions <--
1 real solution
1 complex solution
2 real soultions

yes

To determine the number and type of solutions of a quadratic equation using the discriminant, you need to consider the value of the discriminant itself. The discriminant is found using the formula:

Discriminant = b^2 - 4ac,

where a, b, and c are the coefficients of the quadratic equation (in the form ax^2 + bx + c = 0).

In this case, the given discriminant is -5. Since the discriminant is negative, it means that there are two complex solutions to the quadratic equation.

Therefore, the correct answer is: "2 complex solutions" (as indicated by the arrow "<--").