Completing the square

File:Completing the square.ogv 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 $a{x}^2+bx+c$, into the vertex form $a(x-h{)}^2+k$.

History

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

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.

References

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