KnowraCompleting the squareLinked fromLinked fromThe 12 pages that link to Completing the square, each with the reason it gives.All 12Broader topic 1Related 11Quadratic equationRelated: It derives the quadratic formula and turns equations into a directly solvable square.Babylonian mathematicsRelated: A geometric version of this procedure underlies solutions in Babylonian quadratic problem texts.Quadratic formulaRelated: Applying this method to ax² + bx + c = 0 derives the quadratic formula.Trigonometric substitutionRelated: It exposes the constant-and-square structure needed to choose a trigonometric parameter.Quadratic functionRelated: It converts standard form into vertex form and reveals the turning point.Rhetorical algebraRelated: Rhetorical solutions describe the added quantities and transformations in prose.Binomial (algebra)Related: It builds a perfect-square binomial expression to solve or analyze quadratics.Abu KamilRelated: This procedure underlies solutions to quadratic equations in the algebraic tradition he developed.Al-JabrRelated: Al-Khwarizmi used geometric completion of the square to solve quadratic equations.Fermat polygonal number theoremRelated: It converts the polygonal formula into a square expression used in representation arguments.Trinomial (algebra)Related: It transforms a quadratic trinomial into a form that exposes its roots and vertex.