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Math Problems
Algebra 2
Solve a quadratic equation using square roots
Solve for
x
x
x
.
\newline
x
2
=
1
x^2 = 1
x
2
=
1
\newline
\newline
Write your answer in simplified, rationalized form.
\newline
x
=
x =
x
=
______ or
x
=
x =
x
=
______
\newline
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Solve the following equation for
x
x
x
. Express your answer in the simplest form.
\newline
2
x
+
6
=
−
12
x
+
6
2 x+6=-12 x+6
2
x
+
6
=
−
12
x
+
6
\newline
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Solve for
r
r
r
.
\newline
r
2
=
4
r^2 = 4
r
2
=
4
\newline
Write your answer in simplified, rationalized form.
\newline
r
=
r =
r
=
______ or
r
=
r =
r
=
______
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Solve for
x
x
x
.
\newline
x
2
=
25
x^2 = 25
x
2
=
25
\newline
Write your answer in simplified, rationalized form.
\newline
x
=
x =
x
=
______ or
x
=
x =
x
=
______
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Solve for
q
q
q
.
\newline
q
2
=
9
q^2 = 9
q
2
=
9
\newline
Write your answer in simplified, rationalized form.
\newline
q = ______ or q = ______
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Solve for
s
s
s
.
\newline
s
2
=
100
s^2 = 100
s
2
=
100
\newline
Write your answer in simplified, rationalized form.
\newline
s
=
s =
s
=
______ or
s
=
s =
s
=
______
Get tutor help
Solve for
x
x
x
.
\newline
x
2
=
36
x^2 = 36
x
2
=
36
\newline
Write your answer in simplified, rationalized form.
\newline
x
=
x =
x
=
______ or
x
=
x =
x
=
______
Get tutor help
Solve for
s
s
s
.
\newline
s
2
=
1
s^2 = 1
s
2
=
1
\newline
Write your answer in simplified, rationalized form.
\newline
s
=
s =
s
=
______ or
s
=
s =
s
=
______
Get tutor help
Solve for
d
d
d
.
\newline
d
2
=
16
d^2 = 16
d
2
=
16
\newline
Write your answer in simplified, rationalized form.
\newline
d
=
_
_
_
_
_
_
d = \_\_\_\_\_\_
d
=
______
or
d
=
_
_
_
_
_
_
d = \_\_\_\_\_\_
d
=
______
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Solve for
y
y
y
.
\newline
y
2
=
49
y^2 = 49
y
2
=
49
\newline
Write your answer in simplified, rationalized form.
\newline
y
=
y =
y
=
______ or
y
=
y =
y
=
______
Get tutor help
Solve for
d
d
d
.
\newline
d
2
=
81
d^2 = 81
d
2
=
81
\newline
Write your answer in simplified, rationalized form.
\newline
d
=
_
_
_
_
_
_
d = \_\_\_\_\_\_
d
=
______
or
d
=
_
_
_
_
_
_
d = \_\_\_\_\_\_
d
=
______
Get tutor help
Solve for
t
t
t
.
\newline
t
2
=
64
t^2 = 64
t
2
=
64
\newline
Write your answer in simplified, rationalized form.
\newline
t
=
t =
t
=
______ or
t
=
t =
t
=
______
Get tutor help
Solve for all real values of
x
x
x
.
\newline
x
2
−
9
=
0
x^{2}-9=0
x
2
−
9
=
0
\newline
Answer:
x
=
x=
x
=
\newline
Get tutor help
Solve for all real values of
x
x
x
.
\newline
x
2
−
1
=
0
x^{2}-1=0
x
2
−
1
=
0
\newline
Answer:
x
=
x=
x
=
\newline
Get tutor help
Solve for all real values of
x
x
x
.
\newline
x
2
−
5
=
0
x^{2}-5=0
x
2
−
5
=
0
\newline
Answer:
x
=
x=
x
=
\newline
Get tutor help
Solve for all real values of
x
x
x
.
\newline
x
2
+
1
=
0
x^{2}+1=0
x
2
+
1
=
0
\newline
Answer:
x
=
x=
x
=
\newline
Get tutor help
Solve for all real values of
x
x
x
.
\newline
x
2
−
1
=
0
x^{2}-1=0
x
2
−
1
=
0
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all real values of
x
x
x
.
\newline
x
2
−
16
=
0
x^{2}-16=0
x
2
−
16
=
0
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for all real values of
x
x
x
.
\newline
x
2
−
8
=
0
x^{2}-8=0
x
2
−
8
=
0
\newline
Answer:
x
=
x=
x
=
\newline
Get tutor help
Simplify
12
12
12
/
16
16
16
in Lowest Terms
12
/
16
=
(
?
)
12 / 16=(?)
12/16
=
(
?)
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Solve for
x
x
x
. Enter the solutions from least to greatest.
\newline
x
2
+
7
=
43
x^{2}+7=43
x
2
+
7
=
43
\newline
lesser
x
=
x=
x
=
\newline
greater
x
=
x=
x
=
Get tutor help
Create a list of steps, in order, that will solve the following equation.
\newline
1
2
(
x
+
5
)
2
+
2
=
42.5
\frac{1}{2}(x+5)^{2}+2=42.5
2
1
(
x
+
5
)
2
+
2
=
42.5
\newline
Solution steps:
\newline
- Add
2
2
2
to both sides
\newline
- Multiply both sides by
2
2
2
\newline
- Multiply both sides by
1
2
\frac{1}{2}
2
1
\newline
- Subtract
2
2
2
from both sides
\newline
- Subtract
5
5
5
from both sides
\newline
- Square both sides
\newline
- Take the
Get tutor help
Find the zeros of the function. Enter the solutions from least to greatest.
\newline
f
(
x
)
=
5
x
2
−
20
lesser
x
=
□
greater
x
=
□
\begin{array}{l} f(x)=5x^{2}-20 \text{lesser } x=\square \text{greater } x=\square \end{array}
f
(
x
)
=
5
x
2
−
20
lesser
x
=
□
greater
x
=
□
Get tutor help
Create a list of steps, in order, that will solve the following equation.
\newline
(
x
+
3
)
2
−
1
=
35
(x+3)^{2}-1=35
(
x
+
3
)
2
−
1
=
35
\newline
Solution steps:
\newline
- Add
1
1
1
to both sides
\newline
- Add
3
3
3
to both sides
\newline
- Subtract
1
1
1
from both sides
\newline
- Subtract
3
3
3
from both sides
\newline
- Take the square root of both sides
Get tutor help
Find the zeros of the function. Enter the solutions from least to greatest.
\newline
g
(
x
)
=
7
x
2
−
567
g(x)=7x^{2}-567
g
(
x
)
=
7
x
2
−
567
\newline
lesser
x
=
x=
x
=
greater
x
=
x=
x
=
Get tutor help
Find the zeros of the function. Enter the solutions from least to greatest.
\newline
f
(
x
)
=
(
x
−
1
)
2
−
36
f(x)=(x-1)^{2}-36
f
(
x
)
=
(
x
−
1
)
2
−
36
\newline
lesser
x
=
x=
x
=
greater
x
=
x=
x
=
Get tutor help
Find the zeros of the function. Enter the solutions from least to greatest.
\newline
h
(
x
)
=
−
6
x
2
+
384
h(x) = -6x^{2} + 384
h
(
x
)
=
−
6
x
2
+
384
,
lesser
x
=
□
\text{lesser } x = \square
lesser
x
=
□
,
greater
x
=
□
\text{greater } x = \square
greater
x
=
□
Get tutor help
Pam solved a quadratic equation. Her work is shown below.
\newline
In which step did Pam make an error?
\newline
(
x
+
2
)
2
=
16
,
(x+2)^{2}=16,
(
x
+
2
)
2
=
16
,
\newline
x
+
2
=
±
4
Step 1
x+2=\pm 4\quad \text{Step 1}
x
+
2
=
±
4
Step 1
\newline
x
=
−
2
±
4
Step 2
x=-2\pm 4\quad \text{Step 2}
x
=
−
2
±
4
Step 2
\newline
Choose
1
1
1
answer:
\newline
(A) Step
1
1
1
\newline
(B) Step
2
2
2
Get tutor help
Find the zeros of the function. Enter the solutions from least to greatest.
\newline
f
(
x
)
=
(
x
+
4
)
2
−
25
f(x)=(x+4)^{2}-25
f
(
x
)
=
(
x
+
4
)
2
−
25
\newline
lesser
x
=
x=
x
=
greater
x
=
x=
x
=
Get tutor help
Create a list of steps, in order, that will solve the following equation.
\newline
2
(
x
+
3
4
)
2
−
5
=
123
2(x+\frac{3}{4})^{2}-5=123
2
(
x
+
4
3
)
2
−
5
=
123
\newline
Solution steps:
\newline
Add
2
2
2
to both sides
\newline
Add
5
5
5
to both sides
\newline
Divide both sides by
2
2
2
\newline
Multiply both sides by
2
2
2
\newline
Subtract
5
5
5
from both sides
\newline
Subtract
\newline
3
4
\frac{3}{4}
4
3
from both sides
Get tutor help
Find the zeros of the function. Enter the solutions from least to greatest.
\newline
f
(
x
)
=
(
x
+
6
)
2
−
49
f(x)=(x+6)^{2}-49
f
(
x
)
=
(
x
+
6
)
2
−
49
\newline
lesser
x
=
x=
x
=
greater
x
=
x=
x
=
Get tutor help
Use the cards below to create a list of steps, in order, that will solve the following equation.
\newline
3
(
x
+
6
)
2
=
75
3(x+6)^{2}=75
3
(
x
+
6
)
2
=
75
\newline
Solution steps:
\newline
Add
6
to both sides
\text{Add } 6 \text{ to both sides}
Add
6
to both sides
\newline
Divide both sides by
3
\text{Divide both sides by } 3
Divide both sides by
3
\newline
Divide both sides by
1
3
\text{Divide both sides by } \frac{1}{3}
Divide both sides by
3
1
\newline
Subtract
6
from both sides
\text{Subtract } 6 \text{ from both sides}
Subtract
6
from both sides
\newline
Square both sides
\text{Square both sides}
Square both sides
\newline
Take the square root of both sides
\text{Take the square root of both sides}
Take the square root of both sides
Get tutor help
Create a list of steps, in order, that will solve the following equation.
\newline
1
4
(
x
+
5
)
2
−
1
=
3
\frac{1}{4}(x+5)^{2}-1=3
4
1
(
x
+
5
)
2
−
1
=
3
\newline
Solution steps:
\newline
Add
1
1
1
to both sides
\newline
Multiply both sides by
4
4
4
\newline
Multiply both sides by
1
4
\frac{1}{4}
4
1
\newline
Subtract
1
1
1
from both sides
\newline
Subtract
5
5
5
from both sides
\newline
Square both sides
\newline
Take the
Get tutor help
Create a list of steps, in order, that will solve the following equation.
\newline
3
(
x
+
1
)
2
=
108
3(x+1)^{2}=108
3
(
x
+
1
)
2
=
108
\newline
Solution steps:
\newline
- Add
1
1
1
to both sides
\newline
- Divide both sides by
3
3
3
\newline
- Multiply both sides by
3
3
3
\newline
- Subtract
1
1
1
from both sides
\newline
- Square both sides
\newline
- Take the square root of both sides
Get tutor help
Create a list of steps, in order, that will solve the following equation.
\newline
5
(
x
−
3
)
2
+
4
=
129
5(x-3)^{2}+4=129
5
(
x
−
3
)
2
+
4
=
129
\newline
Solution steps:
\newline
- Add
3
3
3
to both sides
\newline
- Add
4
4
4
to both sides
\newline
- Divide both sides by
5
5
5
\newline
- Subtract
3
3
3
from both sides
\newline
- Subtract
4
4
4
from both sides
\newline
- Square both sides
\newline
- Take the square root of both sides
Get tutor help
Create a list of steps, in order, that will solve the following equation.
\newline
2
(
x
+
2
)
2
−
5
=
93
2(x+2)^{2}-5=93
2
(
x
+
2
)
2
−
5
=
93
\newline
Solution steps:
\newline
- Add
5
5
5
to both sides
\newline
- Divide both sides by
2
2
2
\newline
- Take the square root of both sides
\newline
- Subtract
2
2
2
from both sides
Get tutor help
Create a list of steps, in order, that will solve the following equation.
\newline
(
x
−
5
)
2
=
25
(x-5)^{2}=25
(
x
−
5
)
2
=
25
\newline
Solution steps:
\newline
- Add
5
5
5
to both sides
\newline
- Multiply both sides by
5
5
5
\newline
- Square both sides
\newline
- Take the square root of both sides
Get tutor help
Create a list of steps, in order, that will solve the following equation.
\newline
3
(
x
+
2
)
2
=
48
3(x+2)^{2}=48
3
(
x
+
2
)
2
=
48
\newline
Solution steps:
\newline
- Add
2
2
2
to both sides
\newline
- Divide both sides by
3
3
3
\newline
- Multiply both sides by
3
3
3
\newline
- Subtract
2
2
2
from both sides
\newline
- Square both sides
\newline
- Take the square root of both sides
Get tutor help
Solve for
x
x
x
.
\newline
x
2
=
1
x^2 = 1
x
2
=
1
\newline
\newline
Write your answer in simplified, rationalized form.
\newline
x
=
x =
x
=
______ or
x
=
x =
x
=
______
\newline
Get tutor help
