1.5 Quadratic Equations

WARM-UP Factor: x x +100x x +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

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

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

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

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

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!!!

Activity See if you can put the problem in order.

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

Practice Worksheet #2 & 4

Harder problems Worksheet #9-10

HOMEWORK PROBLEMS #1-15, skip #10

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