Solve each equation with the quadratic formula.

Kuta Software - Infinite Algebra 1

Using the Quadratic Formula

Solve each equation with the quadratic formula. 1) m2 - 5m - 14 = 0

Name___________________________________ Date________________ Period____

2) b2 - 4b + 4 = 0

3) 2m2 + 2m - 12 = 0

4) 2x2 - 3x - 5 = 0

5) x2 + 4x + 3 = 0

6) 2x2 + 3x - 20 = 0

7) 4b2 + 8b + 7 = 4

8) 2m2 - 7m - 13 = -10

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Worksheet by Kuta Software LLC

9) 2x2 - 3x - 15 = 5

10) x2 + 2x - 1 = 2

11) 2k2 + 9k = -7

12) 5r2 = 80

13) 2x2 - 36 = x

14) 5x2 + 9x = -4

15) k2 - 31 - 2k = -6 - 3k2 - 2k

16) 9n2 = 4 + 7n

17) 8n2 + 4n - 16 = -n2

18) 8n2 + 7n - 15 = -7

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 1

Using the Quadratic Formula

Solve each equation with the quadratic formula. 1) m2 - 5m - 14 = 0

{7, -2}

Name___________________________________ Date________________ Period____

2) b2 - 4b + 4 = 0

{2}

3) 2m2 + 2m - 12 = 0

{2, -3}

5) x2 + 4x + 3 = 0

{-1, -3}

7) 4b2 + 8b + 7 = 4

{ } 1 3 - ,- 22

4) 2x2 - 3x - 5 = 0

{ } 5 , -1 2

6) 2x2 + 3x - 20 = 0

{ } 5 , -4 2

8) 2m2 - 7m - 13 = -10

{ } 7 + 73 7 - 73 ,

4

4

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Worksheet by Kuta Software LLC

9) 2x2 - 3x - 15 = 5

{ }5 4, - 2

11) 2k2 + 9k = -7

{ }7 -1, - 2

13) 2x2 - 36 = x

{ } 9 , -4 2

15) k2 - 31 - 2k = -6 - 3k2 - 2k

{ } 5 5 , - 22

10) x2 + 2x - 1 = 2

{1, -3}

12) 5r2 = 80

{4, -4}

14) 5x2 + 9x = -4

{ } 4 - , -1 5

16) 9n2 = 4 + 7n

{ } 7 + 193 7 - 193 ,

18

18

17) 8n2 + 4n - 16 = -n2

{ } -2 + 2 37 -2 - 2 37 ,

9

9

18) 8n2 + 7n - 15 = -7

{ } -7 + 305 -7 - 305 ,

16

16

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Worksheet by Kuta Software LLC

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