Use the discriminant to determine the number and type of solutions to the quadratic equation and solve the questions below. Show all work for full credit.

a^2+8a=13

A: Discriminant:
B: Number of Solutions:
C: Type of solutions (real or imaginary):
D: Type of solutions (rational or irrational):

For this case we have the following quadratic equation:

Where:

The discriminant is given by:

then we have two different real roots.

We have to, based on the quadratic formula:

Thus, the solution will be irrational.

Two real solutions

Irrational solutions

45.3592

step-by-step explanation:

it is probably the graph on the bottom right.