Derive the quadratic formula. drag and drop the correct expression to complete the derivation of the formula. i'm having a little trouble remembering the steps.

The derivation of the quadratic formula is done using completing the square as shown below.

Given a quadratic equation: .

Make the coefficient of  to be 1 by dividing through by a, to get .

Next, take the constant term (the term with no x) to the other side of the equation to get .

Then add to both sides of the equation, the square of half the coefficient of x, to get:



Next, we factorize the left hand side to get .

Then, we take the square root of both sides to get:



Finally, solve for x, to get: