Explain how the quadratic formula is derived

Derivation of Quadratic Formula. A Quadratic Equation looks like this: Quadratic Equation: ax^2 + bx + c = 0. And it can be solved using the Quadratic Formula. It has become somewhat fashionable to have students derive the Quadratic Formula themselves; this is done by completing the square for the generic quadratic. is actually derived using the steps involved in completing the square. It stems from the fact that any generic quadratic function of the form y = ax2 + bx + c can be.

The derivation of this formula can be outlined as follows: Divide both sides of the equation ax2 + bx + c = 0 by a. Transpose the quantity c/a to the right side of the. Derive the quadratic formula from this form. Most of the videos show (and explain) the following steps: Examples of this usual . In elementary algebra, the quadratic formula is the solution of the quadratic equation. There are . The quadratic formula can be derived with a simple application of technique of completing the square. The two derivations are as follows.

We're not big fans of you memorizing formulas, but this one is useful (and we think you should learn how to derive it as well as use it, but that's for the second. Sal proves the quadratic formula using the method of completing the square. You can solve any quadratic equation by completing the square—rewriting part of the equation as a perfect square trinomial. If you complete the square on the.