To solve the quadratic equation using the Quadratic Formula, follow these steps:
Step 1: Identify the Coefficients
The equation is in the standard form , where:
a = 3
b = -18
c = -45
Step 2: Calculate the Discriminant
The discriminant (D) is calculated using the formula:
Substituting in the values:
D = 324 + 540
D = 864
Step 3: Apply the Quadratic Formula
Now, we can use the Quadratic Formula:
Substituting in the values we found: