Mr. Popov's Math Website at Vanden

9.5 Completing the Square

Completing the square (video) | Khan AcademySome quadratic expressions can be factored as perfect squares. For example, x²+6x+9=(x+3)². However, even if an expression isn't a perfect square, we can turn it into one by adding a constant number. For example, x²+6x+5 isn't a perfect square, but if we add 4 we get (x+3)². This, in essence, is the method of *completing the square*

Solving quadratics by completing the square (article) | Khan AcademyFor example, solve x²+6x=-2 by manipulating it into (x+3)²=7 and then taking the square root.

Completing the square (intro) (practice) | Khan AcademyPractice the method of completing the square with quadratic expressions.

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