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Math Problems
Algebra 2
Solve a quadratic equation by completing the square
What is the missing constant term in the perfect square that starts with
x
2
−
8
x
x^{2}-8x
x
2
−
8
x
?
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What is the missing constant term in the perfect square that starts with
x
2
−
16
x
x^{2}-16x
x
2
−
16
x
?
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What is the missing constant term in the perfect square that starts with
x
2
+
14
x
x^{2}+14x
x
2
+
14
x
?
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What is the missing constant term in the perfect square that starts with
x
2
−
20
x
x^{2}-20x
x
2
−
20
x
?
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What is the missing constant term in the perfect square that starts with
x
2
−
12
x
x^{2}-12x
x
2
−
12
x
?
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
12
x
+
7
f(x) = x^2 + 12x + 7
f
(
x
)
=
x
2
+
12
x
+
7
,
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x+\square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
12
x
−
29
f(x) = x^2 - 12x - 29
f
(
x
)
=
x
2
−
12
x
−
29
,
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
2
x
−
39
f(x) = x^2 + 2x - 39
f
(
x
)
=
x
2
+
2
x
−
39
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
4
x
+
70
f(x) = x^2 - 4x + 70
f
(
x
)
=
x
2
−
4
x
+
70
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
8
x
−
29
f(x) = x^2 + 8x - 29
f
(
x
)
=
x
2
+
8
x
−
29
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
6
x
−
78
f(x) = x^2 + 6x - 78
f
(
x
)
=
x
2
+
6
x
−
78
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
12
x
−
69
f(x) = x^2 + 12x - 69
f
(
x
)
=
x
2
+
12
x
−
69
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
10
x
−
96
f(x) = x^2 - 10x - 96
f
(
x
)
=
x
2
−
10
x
−
96
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
6
x
+
43
f(x) = x^2 - 6x + 43
f
(
x
)
=
x
2
−
6
x
+
43
,
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
4
x
+
41
f(x) = x^2 + 4x + 41
f
(
x
)
=
x
2
+
4
x
+
41
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
14
x
+
63
f(x) = x^2 - 14x + 63
f
(
x
)
=
x
2
−
14
x
+
63
,
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
2
x
−
95
f(x) = x^2 - 2x - 95
f
(
x
)
=
x
2
−
2
x
−
95
,
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
14
x
+
64
f(x) = x^2 + 14x + 64
f
(
x
)
=
x
2
+
14
x
+
64
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x+\square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
20
x
+
40
f(x) = x^2 + 20x + 40
f
(
x
)
=
x
2
+
20
x
+
40
,
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x+\square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
10
x
+
44
f(x) = x^2 - 10x + 44
f
(
x
)
=
x
2
−
10
x
+
44
,
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
4
x
−
26
f(x) = x^2 - 4x - 26
f
(
x
)
=
x
2
−
4
x
−
26
,
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
8
x
−
2
f(x) = x^2 - 8x - 2
f
(
x
)
=
x
2
−
8
x
−
2
,
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
8
x
+
4
f(x) = x^2 + 8x + 4
f
(
x
)
=
x
2
+
8
x
+
4
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \Box)^2 + \Box
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
6
x
+
87
f(x) = x^2 + 6x + 87
f
(
x
)
=
x
2
+
6
x
+
87
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \Box)^2 + \Box
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
2
x
+
17
f(x) = x^2 - 2x + 17
f
(
x
)
=
x
2
−
2
x
+
17
,
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
2
x
+
26
f(x) = x^2 + 2x + 26
f
(
x
)
=
x
2
+
2
x
+
26
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
12
x
+
50
f(x) = x^2 - 12x + 50
f
(
x
)
=
x
2
−
12
x
+
50
,
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
16
x
−
100
f(x) = x^2 - 16x - 100
f
(
x
)
=
x
2
−
16
x
−
100
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
20
x
−
86
f(x) = x^2 + 20x - 86
f
(
x
)
=
x
2
+
20
x
−
86
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
6
x
−
60
f(x) = x^2 - 6x - 60
f
(
x
)
=
x
2
−
6
x
−
60
,
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
14
x
+
8
f(x) = x^2 + 14x + 8
f
(
x
)
=
x
2
+
14
x
+
8
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x+\square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
8
x
−
51
f(x) = x^2 - 8x - 51
f
(
x
)
=
x
2
−
8
x
−
51
,
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
−
16
x
+
76
f(x) = x^2 - 16x + 76
f
(
x
)
=
x
2
−
16
x
+
76
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
16
x
−
46
f(x) = x^2 + 16x - 46
f
(
x
)
=
x
2
+
16
x
−
46
,
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x+\square)^2 + \square
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
4
x
−
21
=
0
x^2+4x-21=0
x
2
+
4
x
−
21
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
2
x
−
35
=
0
x^2+2x-35=0
x
2
+
2
x
−
35
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
−
8
x
+
7
=
0
x^2-8x+7=0
x
2
−
8
x
+
7
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the function by completing the square.
\newline
f
(
x
)
=
x
2
+
4
x
−
60
f(x) = x^2 + 4x - 60
f
(
x
)
=
x
2
+
4
x
−
60
\newline
f
(
x
)
=
(
x
+
□
)
2
+
□
f(x) = (x + \Box)^2 + \Box
f
(
x
)
=
(
x
+
□
)
2
+
□
Get tutor help
Solve by completing the square.
\newline
m
2
−
10
m
−
29
=
0
m^2 - 10m - 29 = 0
m
2
−
10
m
−
29
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
`m` = ____ or `m` = _____
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