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Math Problems
Algebra 2
Solve a quadratic equation by completing the square
Solve by completing the square.
\newline
r
2
+
20
r
=
−
31
r^2 + 20r = -31
r
2
+
20
r
=
−
31
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
r
=
r =
r
=
_____ or
r
=
r =
r
=
_____
Get tutor help
Solve by completing the square.
\newline
t
2
−
14
t
−
43
=
0
t^2 - 14t - 43 = 0
t
2
−
14
t
−
43
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
t
=
t =
t
=
_____ or
t
=
t =
t
=
_____
Get tutor help
Solve by completing the square.
\newline
d
2
−
22
d
+
45
=
0
d^2 - 22d + 45 = 0
d
2
−
22
d
+
45
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
d
=
d =
d
=
_____ or
d
=
d =
d
=
_____
Get tutor help
Solve by completing the square.
\newline
s
2
+
24
s
=
−
47
s^2 + 24s = -47
s
2
+
24
s
=
−
47
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
s
=
s =
s
=
_____ or
s
=
s =
s
=
_____
Get tutor help
Solve by completing the square.
\newline
q
2
+
28
q
−
11
=
0
q^2 + 28q - 11 = 0
q
2
+
28
q
−
11
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
q
=
q =
q
=
_____ or
q
=
q =
q
=
_____
Get tutor help
Solve by completing the square.
\newline
p
2
+
22
p
−
19
=
0
p^2 + 22p - 19 = 0
p
2
+
22
p
−
19
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
p
=
p =
p
=
_____ or
p
=
p =
p
=
_____
Get tutor help
Solve by completing the square.
\newline
d
2
−
2
d
−
27
=
0
d^2 - 2d - 27 = 0
d
2
−
2
d
−
27
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
d
=
d =
d
=
_____ or
d
=
d =
d
=
_____
Get tutor help
Solve by completing the square.
\newline
q
2
+
30
q
−
47
=
0
q^2 + 30q - 47 = 0
q
2
+
30
q
−
47
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
q
=
q =
q
=
_____ or
q
=
q =
q
=
_____
Get tutor help
Solve by completing the square.
\newline
x
2
+
8
x
=
29
x^2 + 8x = 29
x
2
+
8
x
=
29
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
x
=
x =
x
=
_____ or
x
=
x =
x
=
_____
Get tutor help
Solve by completing the square.
\newline
v
2
−
12
v
−
23
=
0
v^2 - 12v - 23 = 0
v
2
−
12
v
−
23
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
v
=
v =
v
=
_____ or
v
=
v =
v
=
_____
Get tutor help
Solve by completing the square.
\newline
y
2
+
30
y
−
41
=
0
y^2 + 30y - 41 = 0
y
2
+
30
y
−
41
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
y
=
y =
y
=
_____ or
y
=
y =
y
=
_____
Get tutor help
Solve by completing the square.
\newline
f
2
−
14
f
=
31
f^2 - 14f = 31
f
2
−
14
f
=
31
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
f
=
f =
f
=
_____ or
f
=
f =
f
=
_____
Get tutor help
Solve by completing the square.
\newline
h
2
−
24
h
=
13
h^2 - 24h = 13
h
2
−
24
h
=
13
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
h
=
h =
h
=
_____ or
h
=
h =
h
=
_____
Get tutor help
Solve by completing the square.
\newline
q
2
−
18
q
=
37
q^2 - 18q = 37
q
2
−
18
q
=
37
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
q
=
q =
q
=
_____ or
q
=
q =
q
=
_____
Get tutor help
Solve by completing the square.
\newline
y
2
−
2
y
=
31
y^2 - 2y = 31
y
2
−
2
y
=
31
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
y
=
y =
y
=
_____ or
y
=
y =
y
=
_____
Get tutor help
Solve by completing the square.
\newline
y
2
−
26
y
=
49
y^2 - 26y = 49
y
2
−
26
y
=
49
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
y
=
y =
y
=
_____ or
y
=
y =
y
=
_____
Get tutor help
Solve by completing the square.
\newline
h
2
+
14
h
=
13
h^2 + 14h = 13
h
2
+
14
h
=
13
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
h
=
h =
h
=
_____ or
h
=
h =
h
=
_____
Get tutor help
Solve by completing the square.
\newline
d
2
−
20
d
−
47
=
0
d^2 - 20d - 47 = 0
d
2
−
20
d
−
47
=
0
\newline
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
\newline
d
=
d =
d
=
_____ or
d
=
d =
d
=
_____
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
10
x
+
21
=
0
(
x
+
□
)
2
=
□
\begin{array}{l} x^{2}+10 x+21=0 \\ (x+\square)^{2}=\square \end{array}
x
2
+
10
x
+
21
=
0
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
18
x
+
80
=
0
(
x
+
□
)
2
=
□
\begin{array}{l} x^{2}+18 x+80=0 \\ (x+\square)^{2}=\square \end{array}
x
2
+
18
x
+
80
=
0
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
8
x
+
12
=
0
(
x
+
□
)
2
=
□
\begin{array}{l} x^{2}+8 x+12=0 \\ (x+\square)^{2}=\square \end{array}
x
2
+
8
x
+
12
=
0
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
2
x
−
3
=
0
(
x
+
□
)
2
=
□
\begin{array}{l} x^{2}+2 x-3=0 \\ (x+\square)^{2}=\square \end{array}
x
2
+
2
x
−
3
=
0
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
x
−
72
=
0
(
x
+
□
)
2
=
□
\begin{array}{l} x^{2}+x-72=0 \\ (x+\square)^{2}=\square \end{array}
x
2
+
x
−
72
=
0
(
x
+
□
)
2
=
□
Get tutor help
What is the missing constant term in the perfect square that starts with
x
2
+
6
x
x^{2}+6x
x
2
+
6
x
?
Get tutor help
What is the missing constant term in the perfect square that starts with
x
2
+
2
x
x^{2}+2x
x
2
+
2
x
?
Get tutor help
What is the missing constant term in the perfect square that starts with
x
2
−
4
x
x^{2}-4x
x
2
−
4
x
?
Get tutor help
What is the missing constant term in the perfect square that starts with
x
2
+
10
x
x^{2}+10x
x
2
+
10
x
?
Get tutor help
What is the missing constant term in the perfect square that starts with
x
2
+
18
x
x^{2}+18x
x
2
+
18
x
?
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
12
x
+
36
=
0
x^2+12x+36=0
x
2
+
12
x
+
36
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
−
4
x
−
32
=
0
x^2-4x-32=0
x
2
−
4
x
−
32
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
−
14
x
+
49
=
0
x^2-14x+49=0
x
2
−
14
x
+
49
=
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
−
14
x
+
40
=
0
x^2-14x+40=0
x
2
−
14
x
+
40
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
10
x
+
24
=
0
x^2+10x+24=0
x
2
+
10
x
+
24
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
16
x
+
63
=
0
x^2+16x+63=0
x
2
+
16
x
+
63
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
4
x
=
0
x^2+4x=0
x
2
+
4
x
=
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
−
8
=
0
x^2+2x-8=0
x
2
+
2
x
−
8
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
10
x
+
25
=
0
x^2+10x+25=0
x
2
+
10
x
+
25
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
16
x
+
64
=
0
x^2+16x+64=0
x
2
+
16
x
+
64
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
−
14
x
+
33
=
0
x^2-14x+33=0
x
2
−
14
x
+
33
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
−
4
x
=
0
x^2 - 4x = 0
x
2
−
4
x
=
0
\newline
(
x
+
□
)
2
=
□
(x + \square)^2 = \square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
−
16
x
+
63
=
0
x^2-16x+63=0
x
2
−
16
x
+
63
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
14
x
+
49
=
0
x^2+14x+49=0
x
2
+
14
x
+
49
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
−
20
x
+
100
=
0
x^2-20x+100=0
x
2
−
20
x
+
100
=
0
,
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
−
2
x
+
1
=
0
x^2-2x+1=0
x
2
−
2
x
+
1
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
6
x
+
9
=
0
x^2+6x+9=0
x
2
+
6
x
+
9
=
0
,
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
−
4
x
+
3
=
0
x^2-4x+3=0
x
2
−
4
x
+
3
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
−
6
x
−
16
=
0
x^2-6x-16=0
x
2
−
6
x
−
16
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
Rewrite the equation by completing the square.
\newline
x
2
+
10
x
+
16
=
0
x^2+10x+16=0
x
2
+
10
x
+
16
=
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
−
48
=
0
x^2+2x-48=0
x
2
+
2
x
−
48
=
0
\newline
(
x
+
□
)
2
=
□
(x+\square)^2=\square
(
x
+
□
)
2
=
□
Get tutor help
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