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1.5 Quadratic Equations. WARM-UP Factor: x 2 + 20x +100x 2 + 12x +36 x 2 – 24x + 144x 2 – 16x + 64 Solve: 2x 2 + 6x - 3 = 5x + 3 Which homework questions.

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Presentation on theme: "1.5 Quadratic Equations. WARM-UP Factor: x 2 + 20x +100x 2 + 12x +36 x 2 – 24x + 144x 2 – 16x + 64 Solve: 2x 2 + 6x - 3 = 5x + 3 Which homework questions."— Presentation transcript:

1 1.5 Quadratic Equations

2 WARM-UP Factor: x 2 + 20x +100x 2 + 12x +36 x 2 – 24x + 144x 2 – 16x + 64 Solve: 2x 2 + 6x - 3 = 5x + 3 Which homework questions do you need help with??? Write the numbers here

3 Factor these: x 2 + 10x + 25 x 2 - 14x + 49 x 2 – 20x + 100 =(x+5)(x+5) = (x+5) 2 =(x-7)(x-7) = (x-7) 2 =(x-10)(x-10) = (x-10) 2 PERFECT SQUARE TRINOMIALS!!!

4 Complete the Square (visual) x2x2 x x x x 1 x 1 x 1 x 1 x x 2 +8x x 2 +8x+______ 16 (x+4) 2

5 TRY TO COMPLETE THE SQUARE: x 2 + 6x + ________ = x 2 + 18x + ________ = x 2 – 12x + ________ = 3 2 (x+3) 2 9 2 (x+9) 2 6 2 (x+6) 2

6 Completing the Square as described in the textbook…. If x 2 + bx is a binomial, then by adding (b/2) 2, which is the square of half the coefficient of x, a perfect square trinomial will result. That is, x 2 + bx + (b/2) 2 = (x + b/2) 2

7 Applying the idea to SOLVING QUADRATIC EQUATIONS x 2 = 16 x 2 = 25 (x+5) 2 = 36 If you can get your equation to a point like this, you can easily for x!!!

8 Activity See if you can put the problem in order.

9 CHECK ANOTHER GROUP’S WORK USING STICKY NOTES If you agree, write “OK” on your sticky note. If you disagree, give them a sticky note indicating the changes you’d make. Activity

10 Practice Worksheet #2 & 4

11 Harder problems Worksheet #9-10

12 HOMEWORK PROBLEMS #1-15, skip #10

13 DAY #2 – What if it doesn’t divide evenly.


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