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Let’s check out your problem:
(
2
x
−
1
)
(
x
−
5
)
(
x
+
2
)
=
0
(2 x-1)(x-5)(x+2)=0
(
2
x
−
1
)
(
x
−
5
)
(
x
+
2
)
=
0
\newline
What is a positive root of the given equation?
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Math Problems
Algebra 1
Solve linear equations: mixed review
Full solution
Q.
(
2
x
−
1
)
(
x
−
5
)
(
x
+
2
)
=
0
(2 x-1)(x-5)(x+2)=0
(
2
x
−
1
)
(
x
−
5
)
(
x
+
2
)
=
0
\newline
What is a positive root of the given equation?
Identify roots of equation:
Identify the roots of the equation by setting each factor equal to zero.
\newline
(
2
x
−
1
)
=
0
(2x-1)=0
(
2
x
−
1
)
=
0
,
(
x
−
5
)
=
0
(x-5)=0
(
x
−
5
)
=
0
, and
(
x
+
2
)
=
0
(x+2)=0
(
x
+
2
)
=
0
Solve first equation:
Solve the first equation
(
2
x
−
1
)
=
0
(2x-1)=0
(
2
x
−
1
)
=
0
for
x
x
x
.
2
x
−
1
=
0
2x-1=0
2
x
−
1
=
0
2
x
=
1
2x=1
2
x
=
1
x
=
1
2
x=\frac{1}{2}
x
=
2
1
Solve second equation:
Solve the second equation
(
x
−
5
)
=
0
(x-5)=0
(
x
−
5
)
=
0
for
x
x
x
.
x
−
5
=
0
x-5=0
x
−
5
=
0
x
=
5
x=5
x
=
5
Solve third equation:
Solve the third equation
(
x
+
2
)
=
0
(x+2)=0
(
x
+
2
)
=
0
for
x
x
x
.
x
+
2
=
0
x+2=0
x
+
2
=
0
x
=
−
2
x=-2
x
=
−
2
Identify positive roots:
Identify the positive roots from the solutions found.
\newline
The positive roots are
x
=
1
2
x=\frac{1}{2}
x
=
2
1
and
x
=
5
x=5
x
=
5
.
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(\frac{3}{4})x= 12
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\newline
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How many solutions does the following equation have?
\newline
5
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5
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\newline
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How many solutions does the following equation have?
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−
2
z
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10
+
7
z
=
16
z
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7
\newline
Choose
1
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answer:
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(A) No solutions
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(B) Exactly one solution
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How many solutions does the following equation have?
\newline
7
(
y
−
8
)
=
7
y
+
42
7(y-8)=7y+42
7
(
y
−
8
)
=
7
y
+
42
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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Question
How many solutions does the following equation have?
\newline
−
9
(
x
+
6
)
=
−
9
x
+
108
-9(x+6)=-9x+108
−
9
(
x
+
6
)
=
−
9
x
+
108
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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How many solutions does the following equation have?
\newline
−
6
(
x
+
7
)
=
−
4
x
−
2
-6(x+7)=-4x-2
−
6
(
x
+
7
)
=
−
4
x
−
2
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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Question
How many solutions does the following equation have?
\newline
−
4
x
−
7
+
10
x
=
−
7
+
6
x
-4x-7+10x=-7+6x
−
4
x
−
7
+
10
x
=
−
7
+
6
x
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
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Question
How many solutions does the following equation have?
\newline
−
17
(
y
−
2
)
=
−
17
y
+
64
-17(y-2)=-17y+64
−
17
(
y
−
2
)
=
−
17
y
+
64
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
Question
How many solutions does the following equation have?
\newline
9
z
−
6
+
7
z
=
16
z
−
6
9z-6+7z=16z-6
9
z
−
6
+
7
z
=
16
z
−
6
\newline
Choose
1
1
1
answer:
\newline
(A) No solutions
\newline
(B) Exactly one solution
\newline
(C) Infinitely many solutions
Get tutor help
Posted 1 year ago
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