Let's solve the quadratic equation using the quadratic formula, which is given by:
Step 1: Identify Coefficients
For the equation , we have:
(a = 1)(b = 6)(c = 10)
Step 2: Calculate the Discriminant
Now, calculate the discriminant (D):
Step 3: Substitute into the Quadratic Formula
Since the discriminant is negative, we will have complex roots. Substitute (a), (b), and (D) into the quadratic formula: