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Completing the Square

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The conversion of a quadratic polynomial of the form ax^2+bx+c to the form

a(x+b/(2a))^2+(c-(b^2)/(4a)),

which, defining B=b/2a and C=c-b^2/4a, simplifies to

a(x+B)^2+C.

See also

Quadratic Equation, Quadratic Polynomial, Quadratic Formula

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Cite this as:

Weisstein, Eric W. "Completing the Square." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CompletingtheSquare.html

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