To solve the quadratic equation using the Quadratic Formula, we will follow these steps:
Step 1: Identify the Coefficients
From the standard form , we have:
a = 2
b = -10
c = -24
Step 2: Calculate the Discriminant
Next, we calculate the discriminant (D):
D = 100 + 192 = 292
Step 3: Apply the Quadratic Formula
Now we can use the Quadratic Formula:
Substituting in the values we found:
Step 4: Simplify