Home/Algebra/Equations/Completing the square7. EquationsCompleting the squareLevel: fundamentalIn 7. EquationsFormulaCopy LaTeXx2+bx=(x+b2)2−b24x^2+bx=(x+\frac b2)^2-\frac{b^2}{4}x2+bx=(x+2b)2−4b2Tagsalgebraequationsalgebra formulaDetailRewrites a quadratic as a square plus a constant.Explore the ideaFound an error? Contact us.Related formulasRelatedQuadratic formulax=−b±b2−4ac2ax=\frac{-b\pm\sqrt{b^2-4ac}}{2a}x=2a−b±b2−4acOpen formulaOpen in sectionRelatedSquare of a sum(a+b)2=a2+2ab+b2(a+b)^2=a^2+2ab+b^2(a+b)2=a2+2ab+b2Open formulaOpen in section