# Algebra 2 - Solving Quadratics - Square Roots Imaginary Solutions

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```Algebra 2
Name___________________________________
Solving Quadratics - Square Roots: Imaginary Solutions
Date________________ Period____
©7 R2K0s1b3r tKKultdaK ZSUoNf6tNwoajrjeW 1LRLWC4.z r jAUl0l8 DrMifgAhat3sc 4r5eAsFehrqvOeFdz.p
Solve each equation by taking square roots.
1) −9 − 8 x 2 = −209
2) 7r 2 + 8 = 281
3) 25m 2 − 8 = −7
4) 2n 2 − 5 = −35
5) 5 x 2 − 3 = −8
6) 10b 2 − 10 = −141
7) 4n 2 + 1 = 157
8) 8v 2 − 6 = −101
9) 9 x 2 + 8 = −35
10) 9n 2 − 5 = −99
11) 8 − 6m 2 = −88
12) 3 p 2 − 4 = −6
©O P2i0H123a aKzuXtVaC iSaopfbtMwAa4rsev XLpLxCO.j q 9ABlbl4 ir4iigFh8tIst AreeisLeoryvLeLdY.1 G 7MCa0dqe6 RwYiytHhe kIKnJfqiTnUiXtGeU 9A3lngjembRr5aB g2J.7
-1-
Worksheet by Kuta Software LLC
13) 3r 2 − 5 = −10
14) 8b 2 − 1 = −78
15) 7 x 2 + 5 = −137
16) 8n 2 − 5 = −110
17) 7v 2 + 6 = −117
18) 4 x 2 + 4 = −29
19) 7k 2 + 7 = −140
20) 10 x 2 + 7 = −3
21) 9a 2 + 3 = −27
22) −4 − 2 p 2 = −40
23) 7n 2 + 6 = −40
24) 1 − 6 x 2 = −15
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-2-
Worksheet by Kuta Software LLC
Algebra 2
Name___________________________________
Solving Quadratics - Square Roots: Imaginary Solutions
Date________________ Period____
©f b290Z1M3Z yKpuztZav mSKobfFtQwFaXrVeU MLKLaCv.5 v cAhlklX 4rEiTg0h9t2s0 irDexsJeNrVvOevdY.h
Solve each equation by taking square roots.
1) −9 − 8 x 2 = −209
2) 7r 2 + 8 = 281
{5, −5}
{6.245, −6.245}
3) 25m 2 − 8 = −7
4) 2n 2 − 5 = −35
{i
{0.2, −0.2}
5) 5 x 2 − 3 = −8
6) 10b 2 − 10 = −141
{
{i, −i}
7) 4n 2 + 1 = 157
{
9) 9 x 2 + 8 = −35
i 43
i 43
,−
3
3
i 1310
i 1310
,−
10
10
}
8) 8v 2 − 6 = −101
{6.245, −6.245}
{
15, −i 15 }
i 190
i 190
,−
4
4
}
10) 9n 2 − 5 = −99
}
11) 8 − 6m 2 = −88
{
}
12) 3 p 2 − 4 = −6
{
{4, −4}
©V 4250C1b3D AK0uOtNau IScojfStZwQaVrHer LLLLXCZ.m v gArlVlt XrYiWgyhottsd Fr2ecsheurCvve2ds.L X pMCapdxeD 4wLi4tEhF wI0nAfIiUnBiptmeE eAnlXgzeUblrca4 R2A.8
i 94
i 94
,−
3
3
-1-
i 6
i 6
,−
3
3
}
Worksheet by Kuta Software LLC
13) 3r 2 − 5 = −10
{
i 15
i 15
,−
3
3
14) 8b 2 − 1 = −78
}
{
15) 7 x 2 + 5 = −137
{
i 994
i 994
,−
7
7
}
}
19) 7k 2 + 7 = −140
}
i 33
i 33
,−
2
2
}
{i, −i}
22) −4 − 2 p 2 = −40
}
{4.243, −4.243}
23) 7n 2 + 6 = −40
{
{
21, −i 21 }
i 30
i 30
,−
3
3
i 210
i 210
,−
4
4
20) 10 x 2 + 7 = −3
21) 9a 2 + 3 = −27
{
{
18) 4 x 2 + 4 = −29
i 861
i 861
,−
7
7
{i
}
16) 8n 2 − 5 = −110
17) 7v 2 + 6 = −117
{
i 154
i 154
,−
4
4
i 322
i 322
,−
7
7
24) 1 − 6 x 2 = −15
}
©F s2V0Y1J3L FKPuOtoae BSLoXfDtZwMaFrieS oLnLKCI.3 V wAPlPlV ErLimglhSt5sZ GrmeNsGeArYvIejdF.3 v DMhasdieL JwRiOtzhG iI6nVfaiLnBiZtMeb 9AylHg1eabnrBa1 z2c.8
{1.633, −1.633}
-2-
Worksheet by Kuta Software LLC
```