Solving Quadratic Equations by Completing the Square : Solving Quadratic Equations by Completing the Square
Perfect Square Trinomials : Perfect Square Trinomials Examples
x2 + 6x + 9
x2 - 10x + 25
x2 + 12x + 36
Creating a Perfect Square Trinomial : Creating a Perfect Square Trinomial In 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)2 X2 + 14x + 49
Perfect Square Trinomials : Perfect Square Trinomials Create perfect square trinomials.
x2 + 20x + ___
x2 - 4x + ___
x2 + 5x + ___ 100
4
25/4
Solving Quadratic Equations by Completing the Square : Solving Quadratic Equations by Completing the Square Solve the following equation by completing the square:
Step 1: Move quadratic term, and linear term to left side of the equation
Solving Quadratic Equations by Completing the Square : Solving Quadratic Equations by Completing the Square Step 2: Find the term that completes the square on the left side of the equation. Add that term to both sides.
Slide 7 : Solving Quadratic Equations by Completing the Square Step 3: Factor the perfect square trinomial on the left side of the equation. Simplify the right side of the equation.
Solving Quadratic Equations by Completing the Square : Solving Quadratic Equations by Completing the Square Step 4: Take the square root of each side
Solving Quadratic Equations by Completing the Square : Solving Quadratic Equations by Completing the Square Step 5: Set up the two possibilities and solve
Completing the Square-Example #2 : Completing the Square-Example #2 Solve 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.
Slide 11 : Solving Quadratic Equations by Completing the Square Step 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.
Slide 12 : Solving Quadratic Equations by Completing the Square Step 3: Factor the perfect square trinomial on the left side of the equation. Simplify the right side of the equation.
Slide 13 : Solving Quadratic Equations by Completing the Square Step 4: Take the square root of each side
Solving Quadratic Equations by Completing the Square : Solving Quadratic Equations by Completing the Square Try the following examples. Do your work on your paper and then check your answers.