Completing the Square

Completing the SquareUsed to solve a quadratic equation when factoring will not work

Divide “b” by 2Square that resultAdd to the original equation

How to “complete the square “x2 + bx + ?

Define the factors

Solving x2 + bx = c

Complete the squareAdd the new value to both sidesFactor the left side of the equationFind the square root of both sidesFind the solutions

Solving x2 + bx + c = 0Rewrite the equation as: x2 + bx = cComplete the squareAdd the new value to both sidesFactor the left side of the equationFind the square root of both sidesFind the solutions

Solving ax2 + bx + c = 0

Divide all terms by “a”Rewrite the equation as: ax2 + bx = c

Complete the squareAdd the new value to both sidesFactor the left side of the equationFind the square root of both sidesFind the solutions

Completing the Square

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