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Quadratic Equations Square Roots - Kuta Software

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<strong>Kuta</strong> <strong>Software</strong> - Infinite Algebra 2<br />

Name___________________________________<br />

<strong>Quadratic</strong> <strong>Equations</strong> w/ <strong>Square</strong> <strong>Roots</strong><br />

Solve each equation by taking square roots.<br />

1) k 2 + 6 = 6 2) 25v 2 = 1<br />

Date________________ Period____<br />

3) n 2 + 4 = 40 4) x 2 − 2 = 17<br />

5) 9r 2 − 3 = −152 6) 9r 2 − 5 = 607<br />

7) −10 − 5n 2 = −330 8) 5a 2 + 7 = −60<br />

9) 4b 2 + 2 = 326 10) −8 − 8p 2 = −31<br />

11) 5x 2 + 9 = 14 12) 2x 2 − 2 = 6<br />

13) 8r 2 − 17 = 2471 14) 13p 2 − 3 = 4209<br />

15) 7p 2 + 16 = 2151 16) 13 − 8n 2 = −1139


©E U2T0d1a16 1KTu4t5aq 7SjonfNtqwuaBrMek MLcLMC7.t u HALlbl0 lrYiagKhItisd QrEepsteYrCvqe7dy.M m 0M4aOdBeW dwiiKtHhy mI2nMf8iVnhiZtXew eAbl2gHe0b4r8aX U2t.P Worksheet by <strong>Kuta</strong> <strong>Software</strong> LLC<br />

<strong>Kuta</strong> <strong>Software</strong> - Infinite Algebra 2<br />

Name___________________________________<br />

<strong>Quadratic</strong> <strong>Equations</strong> w/ <strong>Square</strong> <strong>Roots</strong><br />

Solve each equation by taking square roots.<br />

Date________________ Period____<br />

1) k 2 + 6 = 6<br />

{0}<br />

3) n 2 + 4 = 40<br />

{6, −6}<br />

2) 25v 2 = 1<br />

{ 1 , − 1 5 5}<br />

4) x 2 − 2 = 17<br />

{ 19, − 19}<br />

5) 9r 2 − 3 = −152<br />

{<br />

i 149<br />

, − i 149<br />

3 3 }<br />

7) −10 − 5n 2 = −330<br />

{8, −8}<br />

9) 4b 2 + 2 = 326<br />

{9, −9}<br />

11) 5x 2 + 9 = 14<br />

{1, −1}<br />

6) 9r 2 − 5 = 607<br />

{2 17, −2 17}<br />

8) 5a 2 + 7 = −60<br />

{<br />

i 335<br />

, − i 335<br />

5 5<br />

}<br />

10) −8 − 8p 2 = −31<br />

{ 46<br />

4 , − 46<br />

4<br />

}<br />

12) 2x 2 − 2 = 6<br />

{2, −2}<br />

13) 8r 2 − 17 = 2471<br />

{ 311, − 311}<br />

14) 13p 2 − 3 = 4209<br />

{18, −18}<br />

15) 7p 2 + 16 = 2151<br />

{ 305, − 305}<br />

16) 13 − 8n 2 = −1139<br />

{12, −12}<br />

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