Complete The Square | completing square formula calculator
Anonlinecalculatorthatcompletesthesquareofaquadraticexpression[1].CompletetheSquareofaQuadraticExpressionCompletingthesquareistowriteaquadraticexpressionoftheform$ax2+bx+c$intotheform$a(x+h)2+k$.step1:Factorcoefficient$a$outofthetermsin$x$$ax2+bx+c=a(x2+dfrac{b}{a}x)+c$step2:Addandsubtract$(b/2a)2$insidetheparentheses(itislikeaddingzero!andwethereforedonochangetheexpression).$=a(x2+dfrac{b}{a}x+(dfrac{b}{2a})2-(dfrac{b}{2a})2)+c$Groupthefirstthreetermsinsidetheparentheses.$=a(x2+dfrac{b}{a}x...
An online calculator that completes the square of a quadratic expression[1].
Complete the Square of a Quadratic ExpressionCompleting the square is to write a quadratic expression of the form $a x2 + b x + c$ into the form $a (x + h)2 + k $.step 1: Factor coefficient $a$ out of the terms in $x$$ax2 + b x + c = a( x2 + dfrac{b}{a} x )+ c $step 2: Add and subtract $ (b/2a)2 $ inside the parentheses (it is like adding zero! and we therefore do no change the expression).$ = a( x2 + dfrac{b}{a} x + (dfrac{b}{2a})2 - (dfrac{b}{2a})2 )+ c $Group the first three terms inside the parentheses.$ = a( x2 + dfrac{b}{a} x + (dfrac{b}{2a})2) - a (dfrac{b}{2a})2 + c $The terms inside the parentheses are grouped as a square hence "completing the...