# Completing the square

A video visualizing how completing the square works.

In elementary algebra, Completing the square is a technique in evaluating quadratic expressions. The technique is about converting the quadratic expression in the standard form ${\displaystyle ax^{2}+bx+c}$, into the vertex form ${\displaystyle a(x-h)^{2}+k}$.

## History

The technique of completing the square was known in the Old Babylonian Empire.[1]

Muhammad ibn Musa Al-Khwarizmi, a famous polymath who wrote the early algebraic treatise Al-Jabr, used the technique of completing the square to solve quadratic equations.[2]

## References

1. Tony Philips, "Completing the Square", American Mathematical Society Feature Column, 2020.
2. Hughes, Barnabas. "Completing the Square - Quadratics Using Addition". Math Association of America. Retrieved 2022-10-21.`{{cite web}}`: CS1 maint: url-status (link)