4.8 Quadratic Formula

2 4

2

b b acx

a

The Quadratic Formula

2 0ax bx c

To Solve Quadratic Equations

in the Form

Solve Using the Quadratic Formula2 4

2

b b acx

a

22 3 6 0x x 2, 3, 6a b c

23 3 4 2 6

2 2x

3 9 48

4x

3 57

4x

Solve Using the Quadratic Formula2 4

2

b b acx

a

23 8 0x x 3, 1, 8a b c

21 1 4 3 8

2 3x

1 1 96

6x

1 95

6x

1 95

6

ix

Solve Using the Quadratic Formula2 4

2

b b acx

a

23 6 3 0x x 3, 6, 3a b c

26 6 4 3 3

2 3x

6 36 36

6x

6 0

6x

61

6x

Solve Using the Quadratic Formula2 4

2

b b acx

a

2 5 8 0x x 1, 5, 8a b c

25 5 4 1 8

2 1x

5 25 32

2x

5 7

2x

5 7

2

ix

Solve Using the Quadratic Formula23 4 9x x 2 4

2

b b acx

a

23 4 9 0x x

24 4 4 3 9

2 3x

4 16 108

6x

4 124

6x

4 2 31

6x

2 31

3x

Solve Using the Quadratic Formula22 5 3x x x 2 4

2

b b acx

a

22 2 5 0x x

22 2 4 2 5

2 2x

2 4 40

4x

2 44

4x

2 2 11

4x

1 11

2x

Solve Using the Quadratic Formula2 25 4 12 4x x x 2 4

2

b b acx

a

2 4 12 0x x

24 4 4 1 12

2 1x

4 16 48

2x

4 32

2x

4 32

2

ix

4 4 2

2

ix

2 2 2x i

Assignmentp. 296 #16 - 42 even, 49 - 54, 70 - 72