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Tuesday, September 1, 2015

Deriving the Quadratic Formula

Let's talk quadratic formula.

To derive the quadratic formula, you start with the quadratic equation and apply the steps of completing the square. First, I will review the steps of solving a quadratic equation using completing the square. Second, I will apply the steps of completing the square method to the quadratic equation.

First, the steps for "completing the square" method to solve a quadratic equation.

1. Divide every term by the coefficient of x2 unless its one
2. Isolate all variable terms on one side
3. Add both sides by half of coefficient of x squared.
4. Factor the trinomial and write as a square.
5. Apply the square root property
6. Then solve for x.

Second, I will now apply the steps to solving the quadratic equation, ax2+bx+c=0.


I think this is more interesting than me singing the quadratic formula as Batman, but you be the judge. Here's the link: https://www.youtube.com/watch?v=rToBuXiYX74

If you got math questions, e-mail at jdmathguy@gmail.com.

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