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Math Problems
Precalculus
Solve radical equations
Solve:
tg
(
x
+
(
π
)
/
(
3
)
)
=
3
\text{tg}(x+(\pi)/(3))=\sqrt{3}
tg
(
x
+
(
π
)
/
(
3
))
=
3
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Simplify:
5
(
2
6
x
−
96
x
)
\sqrt{5}(2\sqrt{6x}-\sqrt{96x})
5
(
2
6
x
−
96
x
)
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Find the vertical asymptotes of the function
y
=
1
−
sin
x
1
+
sin
x
y=\sqrt{\frac{1-\sin x}{1+\sin x}}
y
=
1
+
s
i
n
x
1
−
s
i
n
x
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Evaluate the algebraic expression:
\newline
2
67
−
2
(
y
+
6
)
for
y
=
3
2 \sqrt{67-2(y+6)} \quad \text { for } \mathrm{y}=3
2
67
−
2
(
y
+
6
)
for
y
=
3
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Simplify.
\newline
(
−
16
)
+
17
=
□
(-16) + 17 = \square
(
−
16
)
+
17
=
□
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(
a
+
7
a
)
⋅
(
2
a
+
4
a
)
(a+\sqrt{7 a}) \cdot(2 a+\sqrt{4 a})
(
a
+
7
a
)
⋅
(
2
a
+
4
a
)
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The list below shows the temperature Piper recorded at
11
11
11
:
00
00
00
p.m. for four days last January.
\newline
Monday:
6
∘
F
6^{\circ} \mathrm{F}
6
∘
F
\newline
Tuesday:
−
2
0
∘
F
-20^{\circ} \mathrm{F}
−
2
0
∘
F
\newline
Wednesday:
3
∘
F
3^{\circ} \mathrm{F}
3
∘
F
\newline
Thursday:
1
0
∘
F
10^{\circ} \mathrm{F}
1
0
∘
F
\newline
On which of the days did Piper record the lowest (coldest) temperature?
\newline
Monday
\newline
Tuesday
\newline
Wednesday
\newline
Thursday
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Solve for
z
z
z
.
\newline
−
2
z
=
−
z
+
5
\sqrt{\,-2z} = \sqrt{\,-z + 5}
−
2
z
=
−
z
+
5
\newline
z
=
_
_
_
_
_
z = \,\_\_\_\_\_
z
=
_____
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Solve for
y
y
y
.
\newline
−
2
+
9
y
=
8
y
\sqrt{\,-2 + 9y} = \sqrt{\,8y}
−
2
+
9
y
=
8
y
\newline
y
=
_
_
_
_
y = \,\_\_\_\_
y
=
____
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Solve for
j
j
j
.
\newline
−
2
j
=
−
6
−
4
j
\sqrt{\,-2j} = \sqrt{\,-6 - 4j}
−
2
j
=
−
6
−
4
j
\newline
j
=
_
_
_
_
j = \,\_\_\_\_
j
=
____
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Solve for
b
b
b
.
\newline
−
9
b
=
(
−
7
b
+
2
)
\sqrt{\,-9b} = \sqrt{(\,-7b + 2)}
−
9
b
=
(
−
7
b
+
2
)
\newline
b
=
_
_
_
_
b = \,\_\_\_\_
b
=
____
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Solve for
q
q
q
.
\newline
2
q
=
−
10
+
4
q
\sqrt{2q} = \sqrt{-10 + 4q}
2
q
=
−
10
+
4
q
\newline
q
=
q =
q
=
_____
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Solve for
w
w
w
.
\newline
8
w
=
9
w
−
7
\sqrt{8w} = \sqrt{9w - 7}
8
w
=
9
w
−
7
\newline
w
=
w =
w
=
_____
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Solve for
s
s
s
.
\newline
10
+
5
s
=
7
s
\sqrt{10 + 5s} = \sqrt{7s}
10
+
5
s
=
7
s
\newline
s
=
s =
s
=
_
_
_
_
\_\_\_\_
____
Get tutor help
Solve for
t
t
t
.
\newline
3
t
=
10
+
2
t
\sqrt{3t} = \sqrt{10 + 2t}
3
t
=
10
+
2
t
\newline
t
=
t =
t
=
_____
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Solve for
a
a
a
.
\newline
−
9
+
7
a
=
6
a
\sqrt{\,-9 + 7a} = \sqrt{\,6a}
−
9
+
7
a
=
6
a
\newline
a
=
_
_
_
_
_
a = \,\_\_\_\_\_
a
=
_____
Get tutor help
Solve for
g
g
g
.
\newline
2
g
=
−
10
+
4
g
\sqrt{2g} = \sqrt{-10 + 4g}
2
g
=
−
10
+
4
g
\newline
g
=
g =
g
=
_____
Get tutor help
Solve for
u
u
u
.
\newline
5
u
−
8
=
u
\sqrt{5u - 8} = \sqrt{u}
5
u
−
8
=
u
\newline
u
=
u =
u
=
_____
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Solve for
x
x
x
.
\newline
6
x
=
−
4
+
7
x
\sqrt{6x} = \sqrt{-4 + 7x}
6
x
=
−
4
+
7
x
\newline
x
=
x =
x
=
_____
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Solve for
k
k
k
.
\newline
6
+
3
k
=
6
k
\sqrt{6 + 3k} = \sqrt{6k}
6
+
3
k
=
6
k
\newline
k
=
k =
k
=
_____
Get tutor help
Solve for
u
u
u
.
\newline
(
−
7
u
+
3
)
=
−
10
u
\sqrt{(-7u + 3)} = \sqrt{-10u}
(
−
7
u
+
3
)
=
−
10
u
\newline
u
=
u =
u
=
_____
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Solve for
t
t
t
.
\newline
8
t
=
10
t
−
2
\sqrt{8t} = \sqrt{10t - 2}
8
t
=
10
t
−
2
\newline
t
=
t =
t
=
_____
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Solve for
h
h
h
.
\newline
4
h
=
(
−
2
+
6
h
)
\sqrt{4h} = \sqrt{(-2 + 6h)}
4
h
=
(
−
2
+
6
h
)
\newline
h
=
h =
h
=
_____
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Solve for
q
q
q
.
\newline
−
5
q
=
−
2
q
+
3
\sqrt{-5q} = \sqrt{-2q + 3}
−
5
q
=
−
2
q
+
3
\newline
q
=
q =
q
=
_____
Get tutor help
Solve for
k
k
k
.
\newline
(
−
4
−
10
k
)
=
−
8
k
\sqrt{(-4 - 10k)} = \sqrt{-8k}
(
−
4
−
10
k
)
=
−
8
k
\newline
k
=
k =
k
=
_____
Get tutor help
Solve for
d
d
d
.
\newline
3
d
=
2
+
2
d
\sqrt{3d} = \sqrt{2 + 2d}
3
d
=
2
+
2
d
\newline
d
=
d =
d
=
_____
Get tutor help
Solve for
y
y
y
.
\newline
−
y
=
−
4
y
−
3
\sqrt{\,-y} = \sqrt{\,-4y - 3}
−
y
=
−
4
y
−
3
\newline
y
=
_
_
_
_
_
y = \,\_\_\_\_\_
y
=
_____
Get tutor help
Solve for
w
w
w
.
\newline
(
−
2
w
+
1
)
=
−
3
w
\sqrt{(-2w + 1)} = \sqrt{-3w}
(
−
2
w
+
1
)
=
−
3
w
\newline
w
=
w =
w
=
_____
Get tutor help
Solve for
n
n
n
.
\newline
−
10
n
=
(
5
−
5
n
)
\sqrt{\,-10n} = \sqrt{(\,5 - 5n)}
−
10
n
=
(
5
−
5
n
)
\newline
n
=
_
_
_
_
n = \,\_\_\_\_
n
=
____
Get tutor help
Solve for
p
p
p
.
\newline
−
10
p
=
(
4
−
8
p
)
\sqrt{\, -10p} = \sqrt{(\, 4 - 8p)}
−
10
p
=
(
4
−
8
p
)
\newline
p
=
_
_
_
_
p = \,\_\_\_\_
p
=
____
Get tutor help
Solve for
q
q
q
.
\newline
7
+
8
q
=
9
q
\sqrt{7 + 8q} = \sqrt{9q}
7
+
8
q
=
9
q
\newline
q
=
q =
q
=
_____
Get tutor help
Solve for
s
s
s
.
\newline
(
−
5
s
−
3
)
=
−
2
s
\sqrt{(-5s - 3)} = \sqrt{-2s}
(
−
5
s
−
3
)
=
−
2
s
\newline
s
=
s =
s
=
_____
Get tutor help
Solve for
g
g
g
.
\newline
−
9
g
=
(
−
10
g
−
10
)
\sqrt{\,-9g} = \sqrt{(\,-10g - 10)}
−
9
g
=
(
−
10
g
−
10
)
\newline
g
=
_
_
_
_
g = \,\_\_\_\_
g
=
____
Get tutor help
Solve for
q
q
q
.
\newline
−
7
q
=
(
10
−
2
q
)
\sqrt{\,-7q} = \sqrt{(\,10 - 2q)}
−
7
q
=
(
10
−
2
q
)
\newline
q
=
_
_
_
_
q = \,\_\_\_\_
q
=
____
Get tutor help
Solve for
c
c
c
.
\newline
9
+
7
c
=
8
c
\sqrt{9 + 7c} = \sqrt{8c}
9
+
7
c
=
8
c
\newline
c
=
c =
c
=
_____
Get tutor help
Solve for
v
v
v
.
\newline
−
v
=
10
+
v
\sqrt{-v} = \sqrt{10 + v}
−
v
=
10
+
v
\newline
v
=
v =
v
=
_____
Get tutor help
Solve for
k
k
k
.
\newline
10
k
=
(
5
+
9
k
)
\sqrt{10k} = \sqrt{(5 + 9k)}
10
k
=
(
5
+
9
k
)
\newline
k
=
k =
k
=
_
_
_
_
_
\_\_\_\_\_
_____
Get tutor help
Solve for
t
t
t
.
\newline
−
8
t
=
−
t
+
7
\sqrt{\,-8t} = \sqrt{\,-t + 7}
−
8
t
=
−
t
+
7
\newline
t
=
_
_
_
_
t = \,\_\_\_\_
t
=
____
Get tutor help
Solve for
j
j
j
.
\newline
−
8
+
3
j
=
j
\sqrt{\,-8 + 3j} = \sqrt{j}
−
8
+
3
j
=
j
\newline
j
=
_
_
_
_
j = \,\_\_\_\_
j
=
____
Get tutor help
Solve for
r
r
r
.
\newline
8
r
=
6
r
+
2
\sqrt{8r} = \sqrt{6r + 2}
8
r
=
6
r
+
2
\newline
r
=
r =
r
=
_____
Get tutor help
Solve for
n
n
n
.
\newline
−
2
n
=
5
n
+
7
\sqrt{-2n} = \sqrt{5n + 7}
−
2
n
=
5
n
+
7
\newline
n
=
n =
n
=
_____
Get tutor help
Solve for
y
y
y
.
\newline
−
1
+
2
y
=
y
\sqrt{\,-1 + 2y} = \sqrt{y}
−
1
+
2
y
=
y
\newline
y
=
_
_
_
_
_
y = \,\_\_\_\_\_
y
=
_____
Get tutor help
Solve for
k
k
k
.
\newline
10
+
5
k
=
7
k
\sqrt{10 + 5k} = \sqrt{7k}
10
+
5
k
=
7
k
\newline
k
=
k =
k
=
_____
Get tutor help
Solve for
h
h
h
.
\newline
(
−
6
h
+
7
)
=
h
\sqrt{(-6h + 7)} = \sqrt{h}
(
−
6
h
+
7
)
=
h
\newline
h
=
h =
h
=
_____
Get tutor help
Solve for
w
w
w
.
\newline
9
w
=
10
w
−
7
\sqrt{9w} = \sqrt{10w - 7}
9
w
=
10
w
−
7
\newline
w
=
w =
w
=
_____
Get tutor help
Solve for
k
k
k
.
\newline
−
2
k
=
8
k
+
10
\sqrt{-2k} = \sqrt{8k + 10}
−
2
k
=
8
k
+
10
\newline
k
=
k =
k
=
_____
Get tutor help
Solve for
c
c
c
.
\newline
−
9
+
5
c
=
4
c
\sqrt{\,-9 + 5c} = \sqrt{\,4c}
−
9
+
5
c
=
4
c
\newline
c
=
_
_
_
_
_
c = \,\_\_\_\_\_
c
=
_____
Get tutor help
Solve for
z
z
z
.
\newline
7
z
=
8
+
3
z
\sqrt{7z} = \sqrt{8 + 3z}
7
z
=
8
+
3
z
\newline
z
=
z =
z
=
_____
Get tutor help
Solve for
z
z
z
.
\newline
z
=
(
−
2
+
3
z
)
\sqrt{z} = \sqrt{(-2 + 3z)}
z
=
(
−
2
+
3
z
)
\newline
z
=
z =
z
=
_____
Get tutor help
Solve for
y
y
y
.
\newline
9
y
=
8
y
+
6
\sqrt{9y} = \sqrt{8y + 6}
9
y
=
8
y
+
6
\newline
y
=
y =
y
=
_____
Get tutor help
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2
3
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