To solve the quadratic equation given by using the Quadratic Formula, we will first rewrite it in standard form and then apply the formula.
Step 1: Rewrite the Equation
The equation is already in standard form:
Step 2: Identify the Coefficients
Here, the coefficients are:
a = -1
b = -6
c = 7
Step 3: Calculate the Discriminant
Next, we calculate the discriminant (D):
D = 36 + 28 = 64
Step 4: Apply the Quadratic Formula
Now we apply the Quadratic Formula:
Substituting in the values we found: