Completeing the sqaure

Completeing the sqaure

Input interpretation
completing the square
Alternate name
complete the square
Definition
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 Bcongruentb/2a and Ccongruentc – b^2/4a, simplifies to
a(x + B)^2 + C.
Related topics
quadratic equation | quadratic formula | quadratic polynomial
Subject classifications
algebraic identities

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