Who Created the Quadratic Formula?

Common Mistakes
  • Forgetting to divide by “a” before completing the square.
  • Using \left(\frac{b}{2}\right)^2 instead of \left(\frac{b}{2a}\right)^2.
  • Adding a value to one side but not the other.
  • Losing the ± when taking square roots.
  • Making sign errors when simplifying.

Video Length: 6:45

Did someone actually create the quadratic formula, or does it come from somewhere else?

In this lesson, we’ll start with the standard form of a quadratic equation and use the process of completing the square to derive the quadratic formula step by step. You’ll see that the quadratic formula isn’t magic and wasn’t simply invented out of thin air—it naturally emerges from algebraic reasoning.

Topics covered:
• Standard form of a quadratic equation
• Completing the square with variables
• Isolating the variable
• Taking square roots and using ±
• Deriving the quadratic formula
• Understanding where the formula comes from

By the end of this lesson, you’ll understand why the quadratic formula works and how it can be derived from the algebra you already know.

If you’ve ever wondered where the Quadratic Formula comes from, this video is for you.

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