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2
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a
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T
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4
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7
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________
Quadratic Equations w/ Square Roots
Solve each equation by taking square roots.
1)
k
2
+ 6 = 6
{
0
}
2) 25
v
2
= 1
{
1
5
,
−
1
5
}
3)
n
2
+ 4 = 40
{
6, −6
}
4)
x
2
− 2 = 17
{
19,
− 19
}
5)
9
r
2
− 3 = −152
{
i 149
3
,
−
i 149
3
}
6)
9
r
2
− 5 = 607
{
2 17,
−2 17
}
7)
−10 − 5
n
2
= −330
{
8, −8
}
8)
5
a
2
+ 7 = −60
{
i 335
5
,
−
i 335
5
}
9)
4
b
2
+ 2 = 326
{
9, −9
}
10)
−8 − 8
p
2
= −31
{
46
4
,
−
46
4
}
11)
5
x
2
+ 9 = 14
{
1, −1
}
12)
2
x
2
− 2 = 6
{
2, −2
}
13)
8
r
2
− 17 = 2471
{
311,
− 311
}
14)
13
p
2
− 3 = 4209
{
18, −18
}
15)
7
p
2
+ 16 = 2151
{
305,
− 305
}
16)
13 − 8
n
2
= −1139
{
12, −12
}
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