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 $ax^{2}+bx+c$ , into the vertex form $a(x-h)^{2}+k$ .

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

↑ Tony Philips, "Completing the Square", American Mathematical Society Feature Column, 2020.
↑ Hughes, Barnabas. "Completing the Square - Quadratics Using Addition". Math Association of America. Archived from the original on 2022-10-21. Retrieved 2022-10-21.

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[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. Archived from the original on 2022-10-21. Retrieved 2022-10-21.

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