Transcription of Completing the Square - Valencia
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Completing the Square - Valencia
Copyright - 2005 - Ryan Hardie & Steve Saffell - Center for Academic Support Completing the Square To complete the Square for the expression bxx+2, add 22 b, which is the Square of half the coefficient of x. Consequently, 222 ++bbxx=22 +bx When solving quadratic equations by Completing the Square , you must add 22 b to both sides to maintain equality. Completing the Square : Leading Coefficient is 1 Let s solve the equation 0262=+ xx by Completing the Square . 0262=++xx Original Equation 262 =+xx Subtract 2 from both sides ()()2223236+ =++xx Divide the 6 by 2, Square it, and then add to both sides ()22b 7962=++xx Simplify ()732=+x Perfect Square trinomial 73 =+x Extract Square roots 73 =x Solutions Copyright - 2005 - Ryan Hardie & Steve Saffell - Center for Academic
Completing the Square: Leading Coefficient is Not 1 Let’s solve the equation 03x2 −4x −5 = by completing the square. If the leading coefficient of a quadratic equation is not 1, you should divide both sides of the equation by this coefficient before completing the square.
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