 # Warm Up – Simplify (in your notes). HW Check – 5.6.

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Warm Up – Simplify (in your notes)

HW Check – 5.6

Solving Quadratic Equations by Completing the Square Section 5.7

The following are called perfect square trinomials Examples l x 2 + 6x + 9 -> (x + 3) 2 l x 2 - 10x + 25 -> (x – 5) 2 l x 2 + 12x + 36 -> (x + 6) 2

Creating a Perfect Square Trinomial l In the following perfect square trinomial, the constant term is missing. x 2 + 14x + ____ l Find the constant term by taking half of the x term (b) and squaring it l (14/2) 2 x 2 + 14x + 49

Perfect Square Trinomials Create perfect square trinomials. l x 2 + 20x + ___ l x 2 - 4x + ___ l x 2 + 12x + ___ 100 4 36

Complete the square, and show what the perfect square is:

Solving Quadratic Equations by Completing the Square Solve the following equation by completing the square: Step 1: Get the x 2 and x terms to the left side and the constant to the right side.

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.

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 Step 4: Take the square root of each side

Solving Quadratic Equations by Completing the Square Step 5: Set up the two possibilities and solve

Solve by Completing the Square +9

Solve by Completing the Square +121 You try!

Solve by Completing the Square +1

Solve by Completing the Square +25 You try!

Solve by Completing the Square +16

Solve by Completing the Square +9

Exit Ticket – Solve by Completing the Square

Coming up… HW - Worksheet 5.7 #s 1-11 odds, 25, 49, 68, 74 All make up/retests need to be done by today at 4:45! Tutoring today in Room 2622 Unit 5 Test – Friday! (Will include some material from the Unit 5A Test)