1 𝑥𝑥2 − 12𝑥𝑥 − 91 = −6 17,−5RED

5,17YELLOW

5,1BLUE

−17,1ORANGE

2 𝑥𝑥2 − 6𝑥𝑥 − 49 = 6 1,11BLACK

5,1PINK

{11,−5}PURPLE

−5,−11GREEN

3 𝑥𝑥2 + 8𝑥𝑥 + 2 = −10 6,2BROWN

−6,−2ORANGE

2,−6RED

−2, 6GRAY

4 𝑥𝑥2 + 6𝑥𝑥 + 3 = −2 −1,5AQUA

5,1BEIGE

−5,1WHITE

−5,−1YELLOW

5 𝑥𝑥2 + 6𝑥𝑥 + 62 = 5 𝑛𝑛𝑛𝑛 𝑠𝑠𝑛𝑛𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑛𝑛𝑛𝑛WHITE

𝑠𝑠𝑛𝑛𝑖𝑖𝑠𝑠𝑛𝑛𝑠𝑠𝑠𝑠𝑖𝑖𝑠𝑠𝑖𝑖𝑚𝑚𝑚𝑚𝑛𝑛𝑖𝑖 𝑠𝑠𝑛𝑛𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑛𝑛𝑛𝑛𝑠𝑠DARK RED

0,0VIOLET

1,3GREEN

6 𝑥𝑥2 + 8𝑥𝑥 + 2 = −10 −6,−2GREEN

6,2YELLOW

−6,2TEAL

6,−2PURPLE

7 𝑥𝑥2 − 8𝑥𝑥 + 10 = 3 −1,7LIGHT PINK

1,7BLACK

−1,−7RED

1,−7WHITE

8 𝑥𝑥2 + 18𝑥𝑥 + 65 = 9 14,4GRAY

−14,4GOLD

−14,−4PINK

−4,14BLUE

9 13𝑥𝑥2 − 39 = −26𝑥𝑥 −1,3RED

3,1AQUA

−3,−1BLACK

−3,1LT BLUE

10 2𝑥𝑥2 + 40𝑥𝑥 = −72 −2,18PURPLE

18,2GRAY

−18,−2DK GREEN

−18,2LIGHT PINK

11 10𝑥𝑥2 = −20𝑥𝑥 + 80 4,2PINK

−4,−2ORANGE

−4,2GOLD

4,−2BROWN

12 7𝑥𝑥2 + 14𝑥𝑥 − 56 = 0 −4,2ORANGE

4,2BEIGE

4,−2GREEN

−4,−2VIOLET

13 6𝑥𝑥2 − 12𝑥𝑥 − 90 = 0 {3,5}YELLOW

{3,−5}DARK RED

−3,5YELLOWGREEN

{−3,−5}WHITE

14 7𝑥𝑥2 − 28𝑥𝑥 + 17 = −4 {−1,−3}BLUE

{3,1}GREEN

{−3,1}TEAL

{3,−1}PURPLE

15 2𝑥𝑥2 + 28𝑥𝑥 + 41 = −7 {−2,−12}PURPLE

{2,−12}BLACK

{2,12}BROWN

{−2,12}PINK

16 13𝑥𝑥2 − 26𝑥𝑥 − 182 = 13 {−5,3}RED

5,3GREEN

−5,−3BLUE

{5,−3}SILVER

Directions: Solve each quadratic equation by completing the square. Color the corresponding problem numbers with the color under your answer choice.

QUADRATIC EQUATIONS: Completing the SquareName Date

©201

6 Mar

ie De

Los R

eyes

1 𝑥𝑥2 − 12𝑥𝑥 − 91 = −6 17,−5RED

5,17YELLOW

5,1BLUE

−17,1ORANGE

2 𝑥𝑥2 − 6𝑥𝑥 − 49 = 6 1,11BLACK

5,1PINK

{11,−5}PURPLE

−5,−11GREEN

3 𝑥𝑥2 + 8𝑥𝑥 + 2 = −10 6,2BROWN

−6,−2ORANGE

2,−6RED

−2, 6GRAY

4 𝑥𝑥2 + 6𝑥𝑥 + 3 = −2 −1,5AQUA

5,1BEIGE

−5,1WHITE

−5,−1YELLOW

5 𝑥𝑥2 + 6𝑥𝑥 + 62 = 5 𝑛𝑛𝑛𝑛 𝑠𝑠𝑛𝑛𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑛𝑛𝑛𝑛WHITE

𝑠𝑠𝑛𝑛𝑖𝑖𝑠𝑠𝑛𝑛𝑠𝑠𝑠𝑠𝑖𝑖𝑠𝑠𝑖𝑖𝑚𝑚𝑚𝑚𝑛𝑛𝑖𝑖 𝑠𝑠𝑛𝑛𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑠𝑛𝑛𝑛𝑛𝑠𝑠DARK RED

0,0VIOLET

1,3GREEN

6 𝑥𝑥2 + 8𝑥𝑥 + 2 = −10 −6,−2GREEN

6,2YELLOW

−6,2TEAL

6,−2PURPLE

7 𝑥𝑥2 − 8𝑥𝑥 + 10 = 3 −1,7LIGHT PINK

1,7BLACK

−1,−7RED

1,−7WHITE

8 𝑥𝑥2 + 18𝑥𝑥 + 65 = 9 14,4GRAY

−14,4GOLD

−14,−4PINK

−4,14BLUE

9 13𝑥𝑥2 − 39 = −26𝑥𝑥 −1,3RED

3,1AQUA

−3,−1BLACK

−3,1LT BLUE

10 2𝑥𝑥2 + 40𝑥𝑥 = −72 −2,18PURPLE

18,2GRAY

−18,−2DK GREEN

−18,2LIGHT PINK

11 10𝑥𝑥2 = −20𝑥𝑥 + 80 4,2PINK

−4,−2ORANGE

−4,2GOLD

4,−2BROWN

12 7𝑥𝑥2 + 14𝑥𝑥 − 56 = 0 −4,2ORANGE

4,2BEIGE

4,−2GREEN

−4,−2VIOLET

13 6𝑥𝑥2 − 12𝑥𝑥 − 90 = 0 {3,5}YELLOW

{3,−5}DARK RED

−3,5YELLOWGREEN

{−3,−5}WHITE

14 7𝑥𝑥2 − 28𝑥𝑥 + 17 = −4 {−1,−3}BLUE

{3,1}GREEN

{−3,1}TEAL

{3,−1}PURPLE

15 2𝑥𝑥2 + 28𝑥𝑥 + 41 = −7 {−2,−12}PURPLE

{2,−12}BLACK

{2,12}BROWN

{−2,12}PINK

16 13𝑥𝑥2 − 26𝑥𝑥 − 182 = 13 {−5,3}RED

5,3GREEN

−5,−3BLUE

{5,−3}SILVER

Directions: Solve each quadratic equation by completing the square. Color the corresponding problem numbers with the color under your answer choice.

QUADRATIC EQUATIONS: Completing the SquareName Date

©201

6 Mar

ie De

Los R

eyes

©201

6 Mar

ie De

Los R

eyes

©201

6 Mar

ie De

Los R

eyes

6

4

6

666

6

14

1414

14

1414

7 77

2

7

1

7

3 6

444 4

5

16

8

10 10101010

10

11

11 1111 11

1111

1111

9

9

131313

22

22

222

2

2

4

4

4

4

888 8

8

10

1013 1310

13

1515 15 15

1515

15

15

15

154

4

4444

4 414

13

410 1010

14

145

5 145

145

15

4

44

4 1515

15

1515 15

1544 44

15

101016

16

16

16

16

9

16

9

16

9

16

16 9

16

9

9

9

16

9

16

1 1

©201

6 Mar

ie De

Los R

eyes

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