Completing the square

From Simple English Wikipedia, the free encyclopedia
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 , into the vertex form .

History[change | change source]

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[change | change source]

  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)