To solve the equation using the Quadratic Formula, follow these steps:
Step 1: Rearrange the Equation
Start with:
Subtract (11x) and (4) from both sides to get the equation in standard quadratic form:
Step 2: Identify the Coefficients
From the quadratic equation we identify the coefficients:
a = 3
b = -11
c = -4
Step 3: Calculate the Discriminant
The discriminant (D) is given by the formula:
Substitute the values of (a), (b), and (c):
D = 121 + 48
D = 169
Step 4: Apply the Quadratic Formula
The Quadratic Formula is: