To solve the quadratic equation , we can use the quadratic formula:
where:
(a = 2)(b = -8)(c = 10)
Step 1: Calculate the Discriminant
First, we calculate the discriminant (D):
Substituting the values:
D = 64 - 80 = -16
Since the discriminant is negative, this indicates that the solutions will be complex numbers.
Step 2: Substitute into the Quadratic Formula
Now substitute (a), (b), and (D) into the quadratic formula: