To solve the quadratic equation using the Quadratic Formula, we first identify the coefficients (a), (b), and (c):
a = 1
b = 8
c = 13
The Quadratic Formula is given by:
Step 1: Calculate the Discriminant
First, we calculate the discriminant (D):
D = 64 - 52 = 12
Step 2: Apply the Quadratic Formula
Now we substitute (b), (D), and (a) into the formula:
Step 3: Simplify
We can simplify :
Now we can substitute this back into the equation: