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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1 Name___________________________________
Period____Date________________
Using the Quadratic Formula
Solve each equation with the quadratic formula.
1)
m
2
− 5
m − 14 = 0 2)
b
2
− 4
b + 4 = 0
3)
2
m
2
+ 2
m − 12 = 0 4)
2
x
2
− 3
x − 5 = 0
5)
x
2
+ 4
x + 3 = 0 6)
2
x
2
+ 3
x − 20 = 0
7)
4
b
2
+ 8
b + 7 = 4 8)
2
m
2
− 7
m − 13 = −10
-1-
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Worksheet by Kuta Software LLC
9)
2
x
2
− 3
x − 15 = 5 10)
x
2
+ 2
x − 1 = 2
11)
2
k
2
+ 9
k = −7 12) 5
r
2
= 80
13)
2
x
2
− 36 =
x 14)
5
x
2
+ 9
x = −4
15)
k
2
− 31 − 2
k =
−6 − 3
k
2
− 2
k 16) 9
n
2
=
4 + 7
n
17)
8
n
2
+ 4
n − 16 = −
n
2
18)
8
n
2
+ 7
n − 15 = −7
-2-
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1 Name___________________________________
Period____Date________________
Using the Quadratic Formula
Solve each equation with the quadratic formula.
1)
m
2
− 5
m − 14 = 0
{
7, −2
}
2)
b
2
− 4
b + 4 = 0
{
2
}
3)
2
m
2
+ 2
m − 12 = 0
{
2, −3
}
4)
2
x
2
− 3
x − 5 = 0
{
5
2
, −1
}
5)
x
2
+ 4
x + 3 = 0
{
−1, −3
}
6)
2
x
2
+ 3
x − 20 = 0
{
5
2
, −4
}
7)
4
b
2
+ 8
b + 7 = 4
{
−
1
2
,
−
3
2
}
8)
2
m
2
− 7
m − 13 = −10
{
7 + 73
4
,
7 −
73
4
}
-1-
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Worksheet by Kuta Software LLC
9)
2
x
2
− 3
x − 15 = 5
{
4,
−
5
2
}
10)
x
2
+ 2
x − 1 = 2
{
1, −3
}
11)
2
k
2
+ 9
k = −7
{
−1,
−
7
2
}
12) 5
r
2
= 80
{
4, −4
}
13)
2
x
2
− 36 =
x
{
9
2
, −4
}
14)
5
x
2
+ 9
x = −4
{
−
4
5
, −1
}
15)
k
2
− 31 − 2
k =
−6 − 3
k
2
− 2
k
{
5
2
,
−
5
2
}
16) 9
n
2
=
4 + 7
n
{
7 + 193
18
,
7 −
193
18
}
17)
8
n
2
+ 4
n − 16 = −
n
2
{
−2 +
2 37
9
,
−2 −
2 37
9
}
18)
8
n
2
+ 7
n − 15 = −7
{
−7 + 305
16
,
−7 −
305
16
}
-2-
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