Algebra-1

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:

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