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Math Problems
Algebra 2
Solve complex trigonomentric equations
Solve for
x
x
x
.
\newline
2
x
2
−
7
x
+
6
=
0
2x^{2}-7x+6=0
2
x
2
−
7
x
+
6
=
0
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Factor the quadratic equation:
x
2
+
6
x
+
8
=
0
x^{2}+6x+8=0
x
2
+
6
x
+
8
=
0
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x
4
−
5
x
2
+
4
=
0
x^4-5x^{2}+4=0
x
4
−
5
x
2
+
4
=
0
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Solve for
x
x
x
.
\newline
2
x
2
+
1
=
0
2x^{2}+1=0
2
x
2
+
1
=
0
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Solve the equation by factoring:
\newline
30
x
2
−
48
x
−
3
x
3
=
0
30 x^{2}-48 x-3 x^{3}=0
30
x
2
−
48
x
−
3
x
3
=
0
\newline
Answer:
x
=
x=
x
=
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Solve for all values of
x
x
x
:
\newline
25
x
2
(
5
x
+
7
)
−
16
(
5
x
+
7
)
=
0
25 x^{2}(5 x+7)-16(5 x+7)=0
25
x
2
(
5
x
+
7
)
−
16
(
5
x
+
7
)
=
0
\newline
Answer:
x
=
x=
x
=
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2
x
y
′
−
ln
x
2
=
0
2 x y^{\prime}-\ln x^{2}=0
2
x
y
′
−
ln
x
2
=
0
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Factor completely:
\newline
33
x
2
−
72
x
−
3
x
3
33 x^{2}-72 x-3 x^{3}
33
x
2
−
72
x
−
3
x
3
\newline
Answer:
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Factor completely.
\newline
5
x
2
+
36
x
+
7
5 x^{2}+36 x+7
5
x
2
+
36
x
+
7
\newline
Answer:
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Factor completely.
\newline
2
x
2
+
24
x
+
22
2 x^{2}+24 x+22
2
x
2
+
24
x
+
22
\newline
Answer:
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Factor.
\newline
x
2
−
17
x
+
72
x^{2}-17 x+72
x
2
−
17
x
+
72
\newline
Answer:
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Factor.
\newline
x
2
−
13
x
+
40
x^{2}-13 x+40
x
2
−
13
x
+
40
\newline
Answer:
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Which equation has the same solution as
x
2
−
18
x
−
1
=
−
7
x^{2}-18 x-1=-7
x
2
−
18
x
−
1
=
−
7
?
\newline
(
x
−
9
)
2
=
75
(x-9)^{2}=75
(
x
−
9
)
2
=
75
\newline
(
x
+
9
)
2
=
−
87
(x+9)^{2}=-87
(
x
+
9
)
2
=
−
87
\newline
(
x
+
9
)
2
=
75
(x+9)^{2}=75
(
x
+
9
)
2
=
75
\newline
(
x
−
9
)
2
=
−
87
(x-9)^{2}=-87
(
x
−
9
)
2
=
−
87
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Which equation has the same solution as
x
2
−
5
x
−
20
=
7
x^{2}-5 x-20=7
x
2
−
5
x
−
20
=
7
?
\newline
(
x
−
2.5
)
2
=
33.25
(x-2.5)^{2}=33.25
(
x
−
2.5
)
2
=
33.25
\newline
(
x
+
2.5
)
2
=
33.25
(x+2.5)^{2}=33.25
(
x
+
2.5
)
2
=
33.25
\newline
(
x
−
2.5
)
2
=
20.75
(x-2.5)^{2}=20.75
(
x
−
2.5
)
2
=
20.75
\newline
(
x
+
2.5
)
2
=
20.75
(x+2.5)^{2}=20.75
(
x
+
2.5
)
2
=
20.75
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Which equation has the same solution as
x
2
+
14
x
+
20
=
8
x^{2}+14 x+20=8
x
2
+
14
x
+
20
=
8
?
\newline
(
x
−
7
)
2
=
37
(x-7)^{2}=37
(
x
−
7
)
2
=
37
\newline
(
x
−
7
)
2
=
−
61
(x-7)^{2}=-61
(
x
−
7
)
2
=
−
61
\newline
(
x
+
7
)
2
=
37
(x+7)^{2}=37
(
x
+
7
)
2
=
37
\newline
(
x
+
7
)
2
=
−
61
(x+7)^{2}=-61
(
x
+
7
)
2
=
−
61
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Find
x
x
x
value from the equation
\newline
3
7
−
2
x
=
5
4
x
+
11
3^{7-2x}=5^{4x+11}
3
7
−
2
x
=
5
4
x
+
11
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Which value of
x
x
x
satisfies the equation
3
2
(
x
+
5
2
)
=
33
4
\frac{3}{2}\left(x+\frac{5}{2}\right)=\frac{33}{4}
2
3
(
x
+
2
5
)
=
4
33
?
\newline
−
2
-2
−
2
\newline
−
3
-3
−
3
\newline
2
2
2
\newline
3
3
3
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cos
6
x
=
32
cos
6
x
−
48
cos
4
x
+
18
cos
2
x
−
1
\cos 6x = 32\cos^6 x - 48\cos^4 x + 18\cos^2 x - 1
cos
6
x
=
32
cos
6
x
−
48
cos
4
x
+
18
cos
2
x
−
1
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1
1
1
: Solve the following exponential equation
\newline
4
x
+
2
x
+
2
−
12
=
0
4^{x}+2^{x+2}-12=0
4
x
+
2
x
+
2
−
12
=
0
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d
y
d
t
=
2
t
+
3
and
y
(
1
)
=
6
\frac{d y}{d t}=2 t+3 \text { and } y(1)=6
d
t
d
y
=
2
t
+
3
and
y
(
1
)
=
6
\newline
What is
t
t
t
when
y
=
0
y=0
y
=
0
?
\newline
Choose all answers that apply:
\newline
(A)
t
=
−
1
t=-1
t
=
−
1
\newline
(B)
t
=
−
3
t=-3
t
=
−
3
\newline
(C)
t
=
0
t=0
t
=
0
\newline
(D)
t
=
−
4
t=-4
t
=
−
4
\newline
(E)
t
=
1
t=1
t
=
1
\newline
(F)
t
=
−
2
t=-2
t
=
−
2
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d
y
d
t
=
2
t
+
3
and
y
(
1
)
=
6.
\frac{d y}{d t}=2 t+3 \text { and } y(1)=6.
d
t
d
y
=
2
t
+
3
and
y
(
1
)
=
6.
\newline
What is
t
t
t
when
y
=
0
y=0
y
=
0
?
\newline
Choose all answers that apply:
\newline
(A)
t
=
−
3
t=-3
t
=
−
3
\newline
(B)
t
=
−
1
t=-1
t
=
−
1
\newline
(C)
t
=
1
t=1
t
=
1
\newline
(D)
t
=
0
t=0
t
=
0
\newline
(E)
t
=
−
2
t=-2
t
=
−
2
\newline
(F)
t
=
−
4
t=-4
t
=
−
4
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