Evaluate the discriminant of the equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 - 4x - 5 = 0

It has two distinct solutions and they are real.

Step-by-step explanation:

1. By definition: if the discriminant is negative, the quadratic equation does not have real solutions, it has two imaginary solutions. If the discriminant is zero the quadratic has one solution. If the discriminant is positive, the quadratic equation has two distinct solutions.

2. The discriminant is:

3. The discriminant is positive, therefore, the quadratic equation has two distinct solutions and they are real.