1 Solving Quadratic Equations by Completing the Square
2 Perfect Square TrinomialsExamples a2 + 2ab + b2 a2 – 2ab + b2 x2 + 6x + 9 x2 - 10x + 25 x2 + 12x + 36
3 Creating a Perfect Square TrinomialIn the following perfect square trinomial, the constant term is missing X2 + 14x + ____ Find the constant term by squaring half the coefficient of the linear term. (14/2) X2 + 14x + 49
4 Perfect Square TrinomialsCreate perfect square trinomials. x2 + 20x + ___ x2 - 4x + ___ x2 + 5x + ___ 100 4 25/4
5 Solving Quadratic Equations by Completing the SquareSolve the following equation by completing the square: Step 1: Move quadratic term, and linear term to left side of the equation
6 Solving Quadratic Equations by Completing the SquareStep 2: Find the term that completes the square on the left side of the equation. Add that term to both sides.
7 Solving Quadratic Equations by Completing the SquareStep 3: Factor the perfect square trinomial on the left side of the equation. Simplify the right side of the equation. 𝒙+𝟒 𝟐 =𝟑𝟔
8 Solving Quadratic Equations by Completing the SquareStep 4: Take the square root of each side.
9 Solving Quadratic Equations by Completing the SquareStep 5: Set up the two possibilities and solve.
10 Completing the Square-Example #2Solve the following equation by completing the square: Step 1: Move quadratic term, and linear term to left side of the equation, the constant to the right side of the equation.
11 Solving Quadratic Equations by Completing the SquareStep 2: Find the term that completes the square on the left side of the equation. Add that term to both sides. The quadratic coefficient must be equal to 1 before you complete the square, so you must divide all terms by the quadratic coefficient first.
12 Solving Quadratic Equations by Completing the SquareStep 3: Factor the perfect square trinomial on the left side of the equation. Simplify the right side of the equation.
13 Solving Quadratic Equations by Completing the SquareStep 4: Take the square root of each side.
14 Solving Quadratic Equations by Completing the SquareTry the following examples. Do your work on your paper and then check your answers.