Quadratic Equations Square Roots - Kuta Software

Kuta Software - Infinite Algebra 2

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Quadratic Equations w/ Square Roots

Date________________ Period____

Solve each equation by taking square roots. 1) k 2 + 6 = 6

2) 25v 2 = 1

3) n 2 + 4 = 40

4) x 2 − 2 = 17

5) 9r 2 − 3 = −152

6) 9r 2 − 5 = 607

7) −10 − 5n 2 = −330

8) 5a 2 + 7 = −60

9) 4b 2 + 2 = 326

10) −8 − 8 p 2 = −31

11) 5 x 2 + 9 = 14

12) 2 x 2 − 2 = 6

13) 8r 2 − 17 = 2471

14) 13 p 2 − 3 = 4209

15) 7 p 2 + 16 = 2151

16) 13 − 8n 2 = −1139

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

Quadratic Equations w/ Square Roots

Date________________ Period____

Solve each equation by taking square roots. 1) k 2 + 6 = 6

2) 25v 2 = 1

{ } 1 1 ,− 5 5

{0 } 3) n 2 + 4 = 40

4) x 2 − 2 = 17

{

{6, −6} 5) 9r 2 − 3 = −152

{

i 149 i 149 ,− 3 3

6) 9r 2 − 5 = 607

}

7) −10 − 5n 2 = −330

{8, −8} 9) 4b 2 + 2 = 326

{9, −9}

11) 5 x 2 + 9 = 14

{1, −1} 13) 8r 2 − 17 = 2471

{

311, − 311 }

15) 7 p 2 + 16 = 2151

{

19, − 19 }

305, − 305 }

{2

17, −2 17 }

8) 5a 2 + 7 = −60

{

i 335 i 335 ,− 5 5

}

10) −8 − 8 p 2 = −31

{

46 46 ,− 4 4

}

12) 2 x 2 − 2 = 6

{2, −2} 14) 13 p 2 − 3 = 4209

{18, −18}

16) 13 − 8n 2 = −1139

{12, −12}

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Worksheet by Kuta Software LLC