**42 solving Quadratic Equations by Completing the Square
-** pleting the square video quadratics some quadratic expressions can be factored as perfect squares for example x² 6x 9= x 3 ² however even if an expression isn t a perfect square we can turn it into one by adding a constant number for example x² 6x 5 isn t a perfect square but if we add 4 we x 3 ² this in essence is the method of pleting the square

now let s start the pleting the square process to begin we have the original equation or if we had to solve first for "= 0" the "equals zero" form of the equation in this case we were asked for the x intercepts of a quadratic function which meant that we set the function equal to zero so we re good to go solve each equation by pleting the square 1 p2 14 p − 38 = 0 2 v2 6v − 59 = 0 solving quadratic equations by pleting the square date period solve each equation by pleting the square 1 p2 14 p − 38 = 0 −7 87 −7 − 87 2 v2

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topics **quadratic equation solver that shows work mathportal** solve quadratic equations by pleting the square or by using quadratic formula step by step topics **worked example solving equations by pleting the square** pleting the square is very powerful because you could actually always apply this and in the future what you will learn in the quadratic formula and the quadratic formula actually es directly out of pleting the square in fact when you re applying he quadratic formula you re essentially applying the result of pleting the square

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## 42 solving Quadratic Equations by Completing the Square

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topics **worked example solving equations by pleting the square** pleting the square is very powerful because you could actually always apply this and in the future what you will learn in the quadratic formula and the quadratic formula actually es directly out of pleting the square in fact when you re applying he quadratic formula you re essentially applying the result of pleting the square

topics **solving quadratic equations by pleting the square** use pleting the square to solve x 2 – 4x – 8 = 0 as noted above this quadratic does not factor so i can t solve the equation by factoring and they haven t given me the equation in a form that is ready to square root