# SWBAT Solving quadratics by completing the square Unit

SWBAT: Solving quadratics by completing the square Unit 3 Day 5

SWBAT: Solving quadratics by completing the square Take out: • HW • Packet • Quiz from fri

-8 -8 2(x-2)2 = -12 2 2 (x-2) 2 = -6 +2

SWBAT: Solving quadratics by completing the square Do Now: (Page 17) x = ± 4 x = ± 10 i

SWBAT: Solving quadratics by completing the square Do Now: (x+2)2 = 36 (x-4)2 = 36 (x-4) = ± 6 (x+2) = ± 6 x-4 = 6 x-4=-6 x+2 = 6 x+2=-6 x = 10 x = -2 x = 4 x = -8

(Page 17) SWBAT: Solving quadratics by completing the square Do Now: Steps: Example: x 2 – 10 x + 7 = 0 x 2 – 10 x = -7 +25 = +25 • isolate ‘c’ x 2 – 10 x + 25 = 18 (x-5)2 = 18 • Factor the perfect square trinomial • Solve for ‘x’

SWBAT: Solving quadratics by completing the square Try Some: (Page 18)

SWBAT: Solving quadratics by completing the square Try Some: x 2 + 8 x = 5 +16 = +16 x 2 + 8 x + 16 = 21 (x+4)2 = 21 x 2 + 5 x = 3

SWBAT: Solving quadratics by completing the square (PAGE 18) • Divide each term by ‘a’ 3(x 2 + 4 x + 5) = 0 x 2 + 4 x + 5 = 0 x 2 + 4 x = -5 +4 = +4 x 2 + 4 x + 4 = -1 (x+2)2 = -1 x = -2±i

SWBAT: Solving quadratics by completing the square 2 x -6=0 (x – 3)(x + 2)= 0 x-3 = 0 x = 3 x+2 = 0 x = -2 2 2 x - 12 = 0 2 2(x - 6) = 0 2(x – 3)(x + 2)= 0 x-3 = 0 x+2 = 0 x = 3 x = -2

SWBAT: Solving quadratics by completing the square Try Some: (PAGE 18) x 2 + 8 x + 17 = 0 x 2 + 8 x +16 = -17 +16 (x+4)2 = -1 x+4 = ±i -4 -4 x = -4±i Divide by ‘a’ Complete the Square on remaining trinomial

SWBAT: Solving quadratics by completing the square Try Some: (PAGE 18) x 2 + 8 x + 17 = 0 x = -4±i x 2 + 2 x + 7 = 0 x 2 + 3 x - 1 = 0

SWBAT: Solving quadratics by completing the square Try Some:

SWBAT: Solving quadratics by completing the square Try Some: x 2 + 8 x + 17 = 0 x 2 + 2 x + 7 = 0 x 2 + 3 x - 1 = 0

SWBAT: Solving quadratics by completing the square 4 x 2 + 20 x + 25 = 0

SWBAT: Solving quadratics by completing the square Solve 3 x 2− 9 x+11=0.

SWBAT: Solving quadratics by completing the square HW QUESTIONS #’s 2, 4, 9, 10

SWBAT: Solving quadratics by completing the square HW QUESTIONS #’s 2, 4, 9, 10

SWBAT: Solving quadratics by completing the square

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