Take out HW Packet Quiz from fri SWBAT Solving quadratics by completing the square 8 8 2x2 2 12 2 2 x2 2 6 x2 i 2 2 x 2 i SWBAT Solving quadratics by completing the square ID: 782207
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Slide1
Unit 3Day 5
SWBAT: Solving quadratics by completing the square
Slide2Take out: HW
Packet
Quiz from
fri
SWBAT: Solving quadratics by completing the square
Slide3-8
-8
2(x-2)
2
= -12
2
2
(x-2)
2
= -6
x-2 = ±
i
+2
+2
x = 2 ±
i
Slide4Slide5Slide6SWBAT: Solving quadratics by completing the square Do Now
: (Page 17)
x = ±
x = ± 4
x = ±
x = ± 10i
x-3 = ±
x-3 = ±
x-3 =
x-3 = -
x =
x = -
Slide7SWBAT: Solving quadratics by completing the square
Do Now:
(x-4)
2
= 36
(x+2)2
= 36
(x-4) = ±
(x-4) = ± 6
x-4 = 6
x-4=-6
x = 10
x = -2
(x+2) = ±
(x+2) = ± 6
x+2 = 6
x+2=-6
x = 4
x = -8
Slide8SWBAT: Solving quadratics by completing the square Do Now
:
x
2
– 10x + 7
= 0
Example:
Steps:
isolate ‘c’
x
2
– 10x = -7
Find
Add
to both sides
Factor the perfect square trinomial
Solve for ‘x’
+25 = +25
x
2
– 10x + 25 = 18
(x-5)
2
= 18
(x-5) = ±
x = 5±3
=
(Page 17)
Slide9SWBAT: Solving quadratics by completing the square Try Some
:
(Page 18)
Slide10SWBAT: Solving quadratics by completing the square
Try Some:
x
2
+ 8x = 5
+16 = +16
x
2
+ 8x + 16 = 21
(x+4)
2
= 21
(x+4) = ±
x = -4±
x
2
+ 5x = 3
+
= +
x
2
+ 5x +
=
(x+
)
2
=
(x+
) = ±
x = -
±
Slide11SWBAT: Solving quadratics by completing the square
3(x
2 + 4x + 5) = 0
Divide each term by ‘a’
x
2
+ 4x = -5
+4 = +4
x
2
+ 4x + 4 = -1
(x+2)
2 = -1
(x+2) = ±
x = -2±i
x
2
+ 4x + 5 = 0
(PAGE 18)
Slide12SWBAT: Solving quadratics by completing the square
x
2
- x - 6 = 0
2x
2
- 2x - 12 = 0
(x
– 3)(x + 2)= 0
2(x
– 3)(x + 2)= 0
2(x
2
- x - 6) = 0
x-3 = 0 x+2 = 0
x = 3 x = -2
x-3 = 0 x+2 = 0
x = 3 x = -2
Slide13SWBAT: Solving quadratics by completing the square Try Some
: (PAGE 18)
x
2
+ 8x + 17 = 0
x = -4±i
Divide by ‘a’
x
2
+ 8x = -17
+16 +16
(x+4)
2
= -1
x+4 = ±
i
-4 -4
Complete the Square on remaining trinomial
Slide14SWBAT: Solving quadratics by completing the square Try Some
: (PAGE 18)
x
2
+ 8x + 17 = 0
x
2
+ 2x + 7 = 0
x
2 + 3x - 1 = 0
x = -4±i
x = -1±
i
x =
Slide15SWBAT: Solving quadratics by completing the square Try Some
:
Slide16SWBAT: Solving quadratics by completing the square Try Some
:
x
2
+ 8x + 17 = 0
x
2
+ 2x + 7 = 0
x
2 + 3x - 1 = 0
Slide17SWBAT: Solving quadratics by completing the square 4x
2 + 20x + 25 = 0
Slide18SWBAT: Solving quadratics by completing the square
Solve 3x
2
−9
x
+11=0
.
Slide19SWBAT: Solving quadratics by completing the squareHW QUESTIONS #’s 2,4,9,10
Slide20SWBAT: Solving quadratics by completing the squareHW QUESTIONS #’s 2,4,9,10
Slide21SWBAT: Solving quadratics by completing the square